How We Calculate
Every calculator on MyBodyMath uses peer-reviewed, clinically validated formulas. Below you’ll find the exact equations we use, where they came from, their known accuracy, and links to the original literature.
TDEE & BMR Calculators
Used on: TDEE Calculator · BMR Calculator
Mifflin-St Jeor Equation (primary)
Our primary formula for estimating Basal Metabolic Rate (BMR) — the calories burned at complete rest. Developed from data on 498 healthy subjects aged 19–78 using indirect calorimetry.
Females: BMR = (10 × weight kg) + (6.25 × height cm) − (5 × age) − 161
Accuracy: A 2005 systematic review found this equation predicted RMR within 10% of measured values for more individuals than any other tested formula — 82% of non-obese and 70% of obese subjects.
Limitation: Like all population-based formulas, it doesn’t account for individual variation in muscle mass, hormones, or metabolic adaptation. Actual metabolic rate may differ by ±10–15%.
Harris-Benedict Equation (revised, secondary)
The original Harris-Benedict equation dates to 1919. We use the revised 1984 version by Roza and Shizgal, which corrected systematic overestimation. Shown alongside Mifflin-St Jeor for comparison.
Females: BMR = 447.593 + (9.247 × kg) + (3.098 × cm) − (4.330 × age)
Activity multipliers (TDEE): We multiply BMR by the standard Katch-McArdle activity factors: Sedentary ×1.2 · Lightly active ×1.375 · Moderately active ×1.55 · Very active ×1.725 · Extremely active ×1.9.
Literature & sources
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Mifflin MD, St Jeor ST, Hill LA, Scott BJ, Daugherty SA, Koh YO. A new predictive equation for resting energy expenditure in healthy individuals. Am J Clin Nutr. 1990;51(2):241–7.
doi: 10.1093/ajcn/51.2.241 ↗ -
Frankenfield D, Roth-Yousey L, Compher C. Comparison of predictive equations for resting metabolic rate in healthy nonobese and obese adults: a systematic review. J Am Diet Assoc. 2005;105(5):775–89.
doi: 10.1016/j.jada.2005.02.005 ↗ -
Roza AM, Shizgal HM. The Harris Benedict equation reevaluated: resting energy requirements and the body cell mass. Am J Clin Nutr. 1984;40(1):168–82.
doi: 10.1093/ajcn/40.1.168 ↗
Body Fat Calculator
Used on: Body Fat Calculator
US Navy Circumference Method (Hodgdon & Beckett, 1984)
Developed at the Naval Health Research Center in San Diego, this method estimates body fat percentage from simple tape measurements. It was validated against hydrostatic (underwater) weighing data from large samples of military personnel, and has since become the official body composition screening protocol for all US Department of Defense branches.
Females: BF% = 495 ÷ (1.29579 − 0.35004 × log₁₀(waist + hip − neck) + 0.22100 × log₁₀(height)) − 450
Accuracy: Approximately ±3–4% compared to DEXA scanning. More reliable than bioelectrical impedance (BIA) scales, which are heavily affected by hydration. Best used for tracking trends over time rather than as an absolute measure.
Literature & sources
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Hodgdon JA, Beckett MB. Prediction of percent body fat for U.S. Navy men from body circumferences and height. Naval Health Research Center, San Diego, CA. Report No. 84-11. 1984.
DTIC ADA143890 ↗ -
Hodgdon JA, Beckett MB. Prediction of percent body fat for U.S. Navy women from body circumferences and height. Naval Health Research Center, San Diego, CA. Report No. 84-29. 1984.
DTIC ADA146456 ↗
Ideal Weight Calculator
Used on: Ideal Weight Calculator
Four published ideal body weight formulas
We show four formulas side by side, all originally developed for clinical pharmacology (drug dosing based on lean body mass) rather than aesthetic goals. Heights below 5 ft (152 cm) use base weights only with no inch adjustment.
Robinson (1983) — Females: 49 kg + 1.7 kg per inch over 5 ft
Miller (1983) — Males: 56.2 kg + 1.41 kg per inch over 5 ft
Miller (1983) — Females: 53.1 kg + 1.36 kg per inch over 5 ft
Devine (1974) — Males: 50 kg + 2.3 kg per inch over 5 ft
Devine (1974) — Females: 45.5 kg + 2.3 kg per inch over 5 ft
Hamwi (1964) — Males: 48 kg + 2.7 kg per inch over 5 ft
Hamwi (1964) — Females: 45.5 kg + 2.2 kg per inch over 5 ft
We also show the healthy BMI range (18.5–24.9 kg/m²) from the World Health Organization as a practical reference alongside the formula results.
Literature & sources
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Robinson JD, Lupkiewicz SM, Palenik L, Lopez LM, Ariet M. Determination of ideal body weight for drug dosage calculations. Am J Hosp Pharm. 1983;40:1016–9.
PubMed 6869338 ↗ - Miller DR, Carlson JD, Lloyd BJ, Day BJ. Determining ideal body weight (and mass). Am J Hosp Pharm. 1983;40:1622–5.
- Devine BJ. Gentamicin therapy. Drug Intell Clin Pharm. 1974;8:650–5.
- Hamwi GJ. Therapy: changing dietary concepts. In: Danowski TS, ed. Diabetes Mellitus: Diagnosis and Treatment. Vol 1. New York: American Diabetes Association; 1964:73–8.
One Rep Max Calculator
Used on: 1RM Calculator
Epley, Brzycki & Lombardi formulas
We calculate and display three 1RM estimates simultaneously, with the Epley formula used as the primary figure for the percentage training chart. All three originate from strength and conditioning practice rather than large randomised trials — they are widely used empirical tools validated through decades of application.
Brzycki (1993): 1RM = weight × (36 ÷ (37 − reps))
Lombardi (1989): 1RM = weight × reps0.10
Accuracy note: All formulas are most accurate when used with sets of 3–8 reps. Estimates become progressively less reliable beyond 10 reps, as endurance and technique factors increasingly influence performance at lighter loads.
Literature & sources
- Epley B. Poundage chart. In: Boyd Epley Workout. Lincoln, NE: Body Enterprises; 1985. p. 86.
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Brzycki M. Strength testing — predicting a one-rep max from reps-to-fatigue. Journal of Physical Education, Recreation & Dance. 1993;64(1):88–90.
doi: 10.1080/07303084.1993.10606684 ↗ - Lombardi VP. Beginning Weight Training: The Safe and Effective Way. Dubuque, IA: Wm. C. Brown; 1989.
Calories Burned Calculator
Used on: Calories Burned Calculator
MET values — Compendium of Physical Activities
MET (Metabolic Equivalent of Task) values for all 40+ activities come from the Compendium of Physical Activities, a continuously updated database compiled by researchers at Arizona State University. One MET equals the energy cost of sitting quietly (approximately 1 kcal/kg/hour).
Accuracy: MET-based estimates have a margin of error of ±15–20%. Heart-rate-based methods (used by fitness trackers) are more accurate for cardio but less reliable for resistance training. Neither method equals laboratory indirect calorimetry.
Literature & sources
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Ainsworth BE, Haskell WL, Herrmann SD, et al. 2011 Compendium of Physical Activities: a second update of codes and MET values. Med Sci Sports Exerc. 2011;43(8):1575–81.
doi: 10.1249/MSS.0b013e31821ece12 ↗
·
Compendium website ↗ -
Jetté M, Sidney K, Blümchen G. Metabolic equivalents (METS) in exercise testing, exercise prescription, and evaluation of functional capacity. Clin Cardiol. 1990;13(8):555–65.
doi: 10.1002/clc.4960130809 ↗
Last updated September 14, 2026.