Shared Formulas

Convert the amount of data.

This tool estimates your body fat percentage based on your height, weight, gender, and age. It is intended for people 18 years of age and older. Accurate results cannot be obtained for high school students and younger. Since the estimation formula is based on an average body type, it may not apply to people who do not fit this average. (e.g., those who are extremely overweight, extremely underweight, athletes, or those who have been doing proper strength training for a long time) Additionally, if your measurements deviate significantly from the average, the result may be a negative value.

Calculate the tax included in the price.

Calculate the fixed overtime pay when "Total compensation = Wages for scheduled working hours + Fixed overtime pay"

Your destiny number is the sum of the digits in your date of birth. You keep adding the digits until you get a single-digit number, but in rare cases, some people end up with a double-digit number (like 33) before reaching a single digit—and apparently, those people are said to have a wonderful destiny (?)

We will calculate the power.

Modified Version of "soo_ Microwave Cooking Time Conversion (Approximate)"

Based on the distance and target time, I will create a pace chart.

Puzzle & Dragons: Calculator for Effective HP Based on Leader Skill HP Multipliers and Damage Reduction Rates

Enter values for any two of the following: arc length (L), chord length (d), arc height (h), or radius (r). If you enter 0 for the remaining two (do not leave them blank), the program will calculate those two values and the central angle.The calculation uses the formulas L=r*θ, d=2*r*sin(θ/2), and h=r*(1-cos(θ/2)), and is performed using the Newton-Raphson method. *Support has been added for central angles greater than 180° and cases where there are two solutions. *January 2026* We have created a new version with significantly improved design and usability. Please feel free to use this one as well. https://sci.tea-nifty.com/blog/files/circlecalc.html

We calculate the FFMI (Fat-Free Mass Index), also known as the "muscle mass index."

Calculate the monthly payment and total payment for a residual value-based auto loan with just a few simple steps.

Calculate your lean body mass, then use your target body fat percentage to calculate your target weight. BMI is merely a guideline and is not a metric that applies to everyone.

For games like pachinko and pachislot, it calculates the probability of hitting a jackpot within a specified number of spins.

This tool calculates the output voltage based on the input voltage and the resistance values of R1 and R2. In response to user requests, we have added the ability to calculate the voltage across R1. In response to user requests, we have added support for selecting units such as mΩ, Ω, kΩ, and MΩ.

We calculate the ratio based on the base quantity and the comparison quantity.

Calculating the GPA at K University

I made this because the calculations were too tedious

This is a tool for calculating amounts before tax

Convert frequency to period

Calculate the resonance frequency of inductance L and capacitance C.

Calculation of Lean Body Mass

Calculate the dew point temperature from the air temperature and relative humidity

We calculate how much weight you can lose healthily in one month based on your basal metabolic rate.

BMI (Body Mass Index) is a value calculated using the formula below and serves as an indicator of the degree of obesity. BMI = Weight (kg) ÷ (Height (m) × Height (m)) Generally, BMI values are classified as follows: below 18.5 is “underweight,” 18.5 to 24.9 is “normal weight,” 25 to 29.9 is “overweight,” and 30 or higher is “obese.” However, recent studies have shown that this does not necessarily apply to middle-aged and older adults, and that “being slightly overweight may lead to a longer life.” Therefore, we have adjusted our assessment to take this into account. References, etc.: Do "Overweight" People Live Longer Than "Underweight" People? http://www.office-onoduka.com/nenkinblog/2010/01/post_166.html Study on the Impact of Lifestyle Habits and Health Checkup Results on Lifetime Medical Costs: http://www.pbhealth.med.tohoku.ac.jp/sites/default/files/pbhealth/goodupload/h19-21.pdf The “long-life weight” is calculated using the following formula based on the standard BMI value. While the standard BMI is generally considered to be 22, the above adjustment has been applied. Long-life weight (kg) = Height (m) × Height (m) × Standard BMI

Skill Multiplier Calculator

Calculating the thermal expansion of a substance when its temperature changes from one value to another

This is a clone of the popular Steam game “NKODICE.” It randomly rolls five dice. The dice are labeled with “o,” “chi,” “u,” “ko,” “ma,” and “n”—and when they land in a certain combination…?

Don't you think that if you pull a gacha with a 1% drop rate 100 times, you'll get a rare item at least once? That's not how it works at all.

The formula is: Distance = sqrt((x1 - x2)² + (y1 - y2)²)

Converts the width, height, and depth entered in millimeters to volume in liters

Stock calculation. This is the bar stock reference number.

Calculate the sodium content based on the salt equivalent listed in the nutritional information on the ingredient label.

Convert cycles to frequency

Enter your values to automatically calculate your ideal PFC balance and daily calorie intake. Please use the "Calorie Adjustment" feature to set your target daily calorie intake for weight loss or weight gain. It is said that a +300 kcal surplus can help you build muscle without gaining too much fat. To lose about 1 kg of fat per month, we recommend aiming for a daily deficit of -300 kcal. If you want a low-carb ratio (carbohydrate restriction), increase the "Fat per Body Weight," and if you want a high-carb ratio (fat restriction), decrease the "Fat per Body Weight." Physical Activity Level Index: 1.5: Recommended for those who commute (light exercise, such as walking) and do strength training 2–3 times a week. 1.7: Recommended for those who engage in high-intensity exercise or strength training 5 times a week. 1.9: Recommended for those who engage in military-style high-intensity exercise every day.

Convert kilowatts to horsepower. This is useful when you want to check the power output of trains and other vehicles in horsepower.

Average score → Standardized score

We will calculate the win rate and profit and loss for binary options.

For standard gacha systems in mobile games and the like, we calculate the probability distribution of the number of spins required to obtain a desired item.

This is a tool for predicting the best time to sell stocks. No knowledge of stock price fluctuations is required. While it produces accurate results in almost all cases, we cannot guarantee them.

We predict your child’s final height based on their environment and your height.

This tool calculates the number of payments and total repayment amount for loans with equal principal and interest payments, such as mortgages and auto loans, as well as for revolving credit. *Note: This tool cannot calculate payments for equal principal repayment plans or balance-sliding repayment plans.

Calculate weight based on height and BMI

Calculate the characteristic impedance of a microstrip line. (Reference) "Microwave Solid State Circuit Design, 2nd ed.", Bahl and Bhartia, Wiley

WPM stands for "Words Per Minute" and refers to the number of words one can read in a minute.

Calculate the time constant of an RC circuit.

Calculating Pi (Circumference and Area)

We convert the area into the number of Tokyo Domes. We have also added support for domes other than the Tokyo Dome.

This is a program that calculates the circumference of an ellipse. The basic idea is to divide the radius into 1,000 equally spaced segments, identify the points where the horizontal lines at those segments touch the ellipse, and calculate the total length of the lines connecting those points. In short, it uses a polygon to obtain an approximate value for the circumference of the ellipse. For more details, please refer to the link below.

To estimate the maximum weight you can lift during strength training (resistance training), calculate your RM (repetition maximum).

Calculation of the reduction rate

This tool calculates the monthly repayment amount (excluding bonus payments) for Type 2 scholarships borrowed from the Japan Student Services Organization (JASSO). It also allows you to calculate repayments based on different monthly loan amounts—a feature not available in JASSO’s official repayment simulator. You can check the latest interest rates on the website listed under [Related Links] below. *We also provide a simulator that displays monthly repayment amounts by interest rate in a table format.

This is the formula used to calculate the housing allowance paid to general-duty national civil servants.

This is a new BMI calculation formula designed by Professor Lloyd N. Trefesen.

We will perform a test of the difference in proportions between two groups. This can be used for analyzing A/B tests and similar scenarios.

Calculate the turning radius based on ground speed and bank angle

Battery Life Calculator for Small Batteries [mAh]

Find the inductance of the solenoid coil.

Generate random body temperatures

Calculate watts using current and voltage

Test

Please use this when calculating salinity based on the salinity level measured by a salinity meter.

Find the length of the diagonal

Calculate an approximate value for the saturated vapor pressure.

This calculates the required dimensions when shaping thin materials, such as paper, into a funnel shape.

It is well known that the boiling point of water decreases with increasing altitude; here, we will perform an approximate calculation.

Based on overall power, effective stats, and event bonuses, you can calculate the estimated points you can earn from a single round of "Ebi" in a multiplayer room, as well as the points you can earn in My World. Use this tool when you're unsure about your event team composition or when estimating your runner's speed.

You can calculate the sales tax. When you go shopping.

High-Speed Arlan B Calculator Calculate the number of lines n based on the target call loss rate B and call volume a.

Calculate the power (in joules) based on the airgun's muzzle velocity and the weight of the pellet: Pellet weight (g) × muzzle velocity (m/s)² ÷ 2000 = Power (J)

Air Density and Kinematic Viscosity

This tool calculates the monthly payment for a mortgage with equal principal and interest payments (no bonus payments). This simulator supports a three-tier interest rate structure (with two rate adjustments).

The Collatz conjecture states that for any positive integer n: • If n is even, then n/2; • If n is odd, then 3n+1; When these steps are repeated, the sequence will always reach 1 after a finite number of iterations.

We will simplify fractions. We will also display the greatest common divisor. (Mixed fractions are allowed.)

The temperature characteristics of an NTC thermistor are calculated using the following equation: R = R0 * exp (B * (1/T - 1/T0)) .

Calculates the effective annual interest rate for various loans based on the payment amount. This calculator can handle situations where the first payment differs from subsequent payments.

Calculation of the cross-sectional area of a square duct (sq m)

U.S. Navy Body Fat Percentage Calculation

Calculate the increased amount based on the original amount and the percentage increase.

Convert the mass percentage concentration of hydrochloric acid to molar concentration.

This tool estimates a confidence interval for the population proportion—such as whether a candidate is certain to win based on the vote share from an exit poll. Enter the sample size (number of respondents in the exit poll), the number of cases meeting the condition (number of people who voted for a specific candidate), the confidence interval percentage (e.g., 95%), and the estimation method (choose between Wald and Agresti-Coull), and the confidence interval will be calculated. *Note: On June 24, 2020, we fixed an issue where the results differed from those obtained using R.

The probability of characters like Urara Haibaru and Mugen Houei appearing

We calculate simulations of rental income and loan repayments for real estate investments, such as rental apartments.

Common to structural standards for pressure vessels (JIS, Specific Regulations for High-Pressure Gases, ASME, etc.) Calculation of the minimum required plate thickness for the shell and piping under internal pressure

Perform a t-test for the difference between two groups under the assumption of equal variances. Enter the sample sizes, means, and standard deviations for each of the two samples, as well as the significance level and whether equal variances can be assumed (if not, Welch’s t-test will be used).

Dragon Quest Walk Physical Attack Calculator

This page was created by STELLA FITNESS GYM, a personal training gym in Fuchinobe. This formula for calculating basal metabolic rate (BMR) is based on data from the Japanese population and is characterized by yielding slightly lower values than the Harris-Benedict equation. Ganpule et al., (2007) The formula for Total Daily Energy Expenditure (TDEE) was developed by setting activity levels (steps per day) based on the Japanese Dietary Reference Intakes (2025 Edition). ————————————————————————————————————————————

[Master Training Edition] This is a calculator designed for the "Master" difficulty training mode, where the maximum stat value is set to 1,800. Click here for the Pro Edition↓ https://keisan.site/exec/user/1727287688 Advanced Edition (Master) capable of calculating up to SS+ ↓ https://keisan.site/exec/user/1727816797 For all inquiries, contact here ☞ @Gyaru_Dragon

This is the "Kantai Collection" Enemy Detection Formula (33) Calculator. Update: July 18, 2023 Development and updates have ended. Since the calculator remains usable unless there are major specification changes, it will remain publicly available. We recommend migrating to the Operations Room (link available below the results output section) or similar platforms. Please refer to this page for usage instructions https://yy406myon.hatenablog.jp/entry/2019/03/14/212552 If you have any questions, please feel free to contact me on Twitter (@yy406_myon). (I believe I can respond more quickly on Twitter.)

Find the circumference of the circle.

Profit Calculation (Martingale Formula)

Calculate the sleeve length based on the shoulder width and sleeve length

Calculate the energy of a photon (in electronvolts) from the wavelength of light.

It calculates calories burned during exercise based on your heart rate.

Displays the day of the week of your birthday, the number of days since your birthday, and the dates 10,000, 20,000, and 30,000 days after your birthday.

This tool can calculate the answer to the question often asked during arguments: "How many times has the Earth rotated since then?" Please keep in mind that this is just for fun, as the results are not entirely accurate. (After all, there’s no way we could possibly know the exact date and time the Earth was formed.)

This is the Fleet Collection Transport Points (TP) Calculator. Updated June 17, 2023 Development and updates have ended. Since the tool remains usable unless there are major specification changes, it will remain publicly available. We recommend migrating to the Operations Room (link available below the results output section) or similar features. =How to Use= 1. Enter the number of each piece of equipment and the number of formations by ship type. 1. (If you include Kinu Kai II in a formation, count both the Large Landing Craft and the Light Cruiser as one each.) 2. If you want to know not only the TP reduction but also the number of battles required to destroy the gauge, enter the remaining gauge amount. 3. If you want to know the number of battles required to destroy the gauge at a specific S-rank win rate, enter the S-rank win rate (%). 4. Click [Calculate]. If you have any questions, please feel free to contact me on Twitter (@yy406_myon). (I believe I can respond more quickly via Twitter.)

We calculate the length of the bolt based on the diameter of the bolt and the thickness of the fabric.

Convert microwave cooking times from aW (nominal wattage) to bW (actual microwave wattage)

This tool estimates the amount of income from employment that is eligible for welfare benefits. *Please note that exact amounts may vary by municipality and fiscal year, so these figures are approximate.

Calculate the Fourier series. Enter the function f(x) (with domain -L ≤ x ≤ L and period 2L), and use integration to find the coefficients.

Calculates the cant of a railway curve. *Please note that this is based solely on railway structural regulations and does not guarantee that the curves at each point will be calculated accurately.

This formula allows you to calculate the payment amount, including the transaction fee, based on the recipient's received amount for PayPal transactions of 300,000 yen or less. The default rates are set at 3.6% + 40 yen per transaction for domestic payments and 4.1% + 40 yen per transaction for international payments. *When the small-amount transaction fee applies: 2,357 yen or less for domestic transactions (5% + 7 yen per transaction) and 1,736 yen or less for international transactions (6% + 7 yen per transaction). *Due to rounding, there may be a discrepancy of up to 1 yen.

When conducting a test for the difference between two means, given the effect size (Δ = (μ1 - μ2) / σ; i.e., how many standard deviations is the difference between the means?) and the significance level, calculate the required sample size n (where n = n1 = n2, representing the sample sizes of each group).　Null hypothesis: μ1 = μ2; for the alternative hypothesis, you can choose from three options: μ1 ≠ μ2, μ1 > μ2, or μ1 < μ2.

This calculates the potential (rating) for each chart in Arcaea and the step values in World Mode.

For gacha systems in mobile games and similar platforms, we calculate the probability distribution of the number of times a desired item appears after spinning the gacha a certain number of times.

This is a calculator for determining the burst rate (how many frames between shots) in the Nintendo Switch game "DAEMON X MACHINA."

Calculate the relationship between rating difference and win rate.

Calculation of National Civil Servant Salaries

For a positive integer n, the number of natural numbers from 1 to n that are coprime to n is denoted by φ(n) and is called Euler's φ-function or the Torsion function.

Calculate the probability of getting at least one hit per trial

Calculate the power residue

Indicators of dialysis volume (hemodialysis)

We will use the Pythagorean theorem to find the length of the diagonal of a square.

Calculating belt length based on the distance between the centers of two pulleys

The interest amount shown in your passbook is the amount after withholding tax has been deducted. For corporations, this withholding tax is refundable, so we will calculate the refund.

Find the diameter of a circle from its circumference.

This tool calculates the expected value for Lucky Boxes containing Re-polishing Tickets and Golden Ether. For example, if there is a 30% chance of getting 100 items and a 70% chance of getting 200 items, enter "100 30" in the first row and "200 70" in the second row to calculate the expected value.

Taking into account how the perception of time changes with age, we calculate the life progression rate based on your current age and life expectancy.

Based on your current body fat percentage and target body fat percentage, this tool calculates the duration of your diet and your daily calorie intake during that period.

We will perform a test of the correlation coefficient. The data set must contain up to 21 values. Please enter 0 (not leave blank) for any missing data. The null hypothesis is r = r0. If r0 = 0, we will perform a t-test; otherwise, we will perform a test based on a normal distribution using Fisher’s Z-transformation.

Calculation of the skin depth of a conductor

Find the values of l, m, and n in the equation x² + y² + lx + my + n = 0, which passes through the points (a, b), (c, d), and (e, f), as well as the coordinates of the center of the circle and its radius.

We calculate the price per tsubo and price per square meter based on the property price and square meterage. We use the formula: tsubo area = square meter area × 0.3025.

We use Snell's law to calculate the angle of emergence (angle of deviation) from the angle of incidence in air to the medium.

Dragon Quest Walk Spell Attack Calculator

Convert the mass percentage concentration of sulfuric acid to molar concentration.

This makes it easy to calculate your effective HP in Puzzle & Dragons. It works even if your leader and friend have different damage reduction conditions!

Calculate the mass of potassium aluminum sulfate dodecahydrate required to dissolve in 100 g of water.

Calculate height based on weight and BMI

Calculate the vertices of a regular polygon. To rotate the entire shape, enter an appropriate angle (in degrees) in the "Angle Offset" field.

Convert the mass percentage concentration of sodium hydroxide to molar concentration.

Calculate the height, length, and width of an arc based on its radius and opening angle

Converts decimal latitude and longitude (used in Google Maps, etc.) to the commonly used sexagesimal latitude and longitude.

Calculate the probability of triggering an anti-air barrage.

This tool estimates the file size of music files such as MP3 and WMA (please note that there may be some margin of error).

Generate five random notes: "Zun" and "Doko." If the sequence is "Zun, Zun, Zun, Zun, Doko," then...

The calculation results are based on the corrected route.

We will perform a simple calculation of the distance-dependent attenuation of noise levels required during construction.

Calculate the distance and angle to the horizon.

Take any positive integer n. If n is even, divide n by 2. If n is odd, multiply n by 3 and add 1. This illustrates the Collatz conjecture, which states that repeating this process will eventually result in 1. For example, if n = 27, it takes 111 iterations to reach 1. It is said that a reward of 100 million yen is offered for a proof.

Last updated: October 31, 2023 About other custom tools: https://yy406myon.hatenablog.jp/entry/2023/06/04/121716 Contact information: https://yy406myon.hatenablog.jp/entry/2023/10/30/212002

Based on the screen size in inches and the aspect ratio, this tool calculates the actual screen dimensions in centimeters.

You can calculate the pH of a very dilute acid where the ionization of water can no longer be ignored. The ionic product of water is assumed to be Kw = 1.0E-14 (mol/L)² at 25°C. Please enter the concentration (mol/L) and the valence.

Total lymphocyte count: Reflects immune function and the total number of T and B lymphocytes; it is a useful indicator of nutritional status.

Here is the video on how to make hypochlorous acid water: https://www.youtube.com/watch?v=O5oKwIpv1yk I created a handy calculation formula based on the video posted by paxm40. Mixing sodium hypochlorite with an acidic solution may cause chlorine gas to be released. Please be sure to perform this in a well-ventilated area. Also, be sure to use pH and hypochlorous acid test strips. Please note that this is purely subjective; those who use this information do so at their own risk. * This site is for calculation reference only. We cannot be held responsible. This is the calculation formula for making "hypochlorous acid water" from "sodium hypochlorite." ・Total Volume (L) → The desired volume of "hypochlorous acid water" 　1L = 1000mL 　The unit for total volume has been changed from mL to L. This is because most plastic bottles have capacities of 0.5L, 1L, 1.5L, or 2L. ・Concentration of stock solution (%) → Concentration of sodium hypochlorite ・Concentration of final solution (ppm) → Concentration of the hypochlorous acid water you wish to produce 　1% = 10,000 ppm

Points are a common feature at electronics retailers. It’s easy to misunderstand, but they aren’t actually a discount rate. Here, we calculate the equivalent discount rate of the points and display the discounted price of the product. We also display the number of points that won’t be deducted if you choose to use points to purchase the item, for those who don’t want to lose points. Additionally, we show how much the price would be if it were a cash discount instead of a point discount, as well as the difference between the two.

Calculate Critical Hit Rate ver3.8.1

Calculate the income requirements and benefit amounts for the High School Education Support Grant Program

When conducting accelerated testing under high-temperature and high-humidity conditions, we calculate the Hallberg-Peck model, which is based on relative humidity.

Based on the monitor size (e.g., 24 inches) and aspect ratio (e.g., 16:9), this tool displays the monitor's width and height. It also displays common monitor sizes with the same aspect ratio and their corresponding widths and heights.

This tool calculates and displays the date "X days after" a specified date. It can also calculate "X days before" or "the Xth day."

Air consumption

This calculates the key figures needed for body sculpting. The formula below is for women's basal metabolic rate.

This tool calculates your 10-year risk of having a stroke (based on data from the National Cancer Center). Note: This applies only to people aged 40–69.

Calculate the break-even point, break-even ratio, contribution margin, and contribution margin ratio.

You can calculate the expected return rate for the type of machine commonly found in recent "ama-digi" slot machines, where a short-time mode follows several ST rounds.

For gacha systems in mobile games and the like, we calculate the expected number of spins and the expected amount spent to obtain several desired items.

This is a tool for calculating the maximum percentage of damage you can withstand using the Leader Bonus damage reduction in Puzzle & Dragons.

Energy intake by nutrient.

Calculate the number of Goddess Statues required to unlock a talent based on the number of pieces you have and the target unlock level.

Multiply the month you were born in by 4, add 9 to that result, multiply the total by 25, and then add your birth date to that number. Once you know that number, you’ll know your birthday.

Geriatric Nutritional Risk Index (GNRI) : A method for assessing nutritional status in older adults using the percentage of ideal body weight (%IBW) and serum albumin

This tool converts the commonly used 60-degree latitude and longitude coordinates obtained from GPS and other sources into the 10-degree latitude and longitude coordinates used by Google Maps and similar services.

Do you know what score corresponds to a perfect score of XX?

Formulas for calculating the effective diameter of metric and Unified threads

Find a specific location based on current location, distance, and direction

Here are the calculations for “Sayaka’s” routine from the 2023 M-1 Grand Prix finals. Unless otherwise specified, I’ve applied the basic rules to all numbers mentioned in the routine (I wish someone would define the exact rules for these calculations…).

You can easily calculate the "Basic Formula for Life Planning" proposed by economic commentator Gen Yamazaki and financial planner Mizuho Iwaki. The default values are based on the case of Employee A, a 47-year-old office worker, as described in the linked article.

Calculate RPM from vehicle speed

Calculate withholding tax.

This explains how to calculate the average cost per share after averaging down on a stock. It can also be used when you buy additional shares after the stock price has risen.

Calculate the reactance of the inductance L and capacitance C at a given frequency.

Calculate the characteristic impedance of the stripline. (Reference) "Microwave Solid State Circuit Design, 2nd ed.", Bahl and Bhartia, Wiley

Design an attenuator capable of impedance matching. Select either a π-type or T-type configuration, and enter the attenuation value, input impedance, and output impedance to calculate the three resistance values.

This is a number-guessing game. Please guess a three-digit number. If your guess is incorrect, you’ll receive a hint indicating how many of the three digits are correct. (Note) The number to guess changes when the date changes.

We calculate the annualized return based on the total purchase amount and total return of the mutual fund.

Calculate the PPI, dot pitch, and horizontal and vertical dimensions

Enter your weight (kg) and body fat percentage (%) to calculate your body fat mass.

The number of matches needed to reach the target win rate from the current win rate

Converting speed displayed in miles per hour on a treadmill to pace per kilometer

Calculate the test’s positive predictive value and negative predictive value using the specified prevalence.

This tool calculates PV (Present Value) and NPV (Net Present Value). Please use it to evaluate investment proposals—such as new projects or real estate—using the DCF (Discounted Cash Flow) method. * We also provide a simulator for calculating IRR.

Here is a calculation of profits using the Martingale strategy in binary options. (Up to 5 Martingale steps)

Calculate the other radius of an ellipse given its circumference and one of its radii (either the major or minor radius). *The circumference of an ellipse is given by the semi-major axis a, the eccentricity k = sqrt(1-b^2/a^2), and the second kind of complete elliptic integral E(k): L = 4a E(k) We use the Newton-Raphson method to solve this inverse problem.

A Combat Simulator for Nobles and Knights

Convert the mass percentage concentration of nitric acid to molar concentration.

This method estimates the number of households and viewers based on ratings.

Calculate the pH based on the amount of sodium hydroxide used.

Find the probability of a random outcome in a series of trials.