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Body Composition As of 2026-04-24

How Body Fat Percentage Calculator works

Methodology for the Body Fat Percentage Calculator: formulas, coefficients, data sources, assumptions, and known limitations.

Education · Not medical advice. Output is deterministic math from your inputs.Editorial standardsSponsor disclosureCorrections

Scope

Estimates body fat percentage using the U.S. Navy circumference method.

Formula

Men: %BF = 86.010*log10(abdomen - neck) - 70.041*log10(height) + 36.76. Women: %BF = 163.205*log10(waist + hip - neck) - 97.684*log10(height) - 78.387.

Coefficients

Parameter Value Note
Inputs Neck, waist/abdomen, hip (F), height
Units inches (formula native)

Data sources

  1. Hodgdon JA, Beckett MB. Prediction of percent body fat for U.S. Navy men and women from body circumferences and height. Naval Health Research Center, 1984. Report 84-11 & 84-29.

Assumptions

  • Tape measurements are taken at the anatomical landmarks specified by the original Navy protocol.

Approximation range

Typical RMSE vs DXA: 3–4 percentage points for adults inside the Navy cohort's demographic range.

Limitations

  • Heavily influenced by abdominal girth; very muscular midsections or unusually wide shoulders mis-predict.
  • Female formula requires consistent measurement of the hip's widest point; user error dominates residuals.

Reproducibility

Male, height 70 in, neck 16, abdomen 35: %BF = 86.010*log10(35-16) - 70.041*log10(70) + 36.76 ≈ 15.8%.

Change log

  • 2026-04-24: methodology page first published.
  • BMI Calculator — Calculate BMI quickly with a plain-language range explanation and limitations.
  • Ideal Weight Calculator — Compare Devine, Robinson, Miller, and Hamwi formulas as a realistic range.
  • Waist-to-Hip Ratio Calculator — Calculate waist-to-hip ratio and assess body composition using WHO guidelines.
  • FFMI Calculator — Calculate Fat-Free Mass Index to gauge muscularity and compare against natural benchmarks.

Worked example

Computed by the same engine bundle served at /engines/body-fat-percentage-calculator.js. Re-runnable: the values below are the literal output of compute(engineInput).

Input

tool
body_fat_percentage_calculator
sex
male
waist_cm
85
neck_cm
38
height_cm
178

Output

bodyFatPercent
16.436015
methods
[{"name":"U.S. Navy","bodyFatPercent":16.436014818131696,"note":"DoD circumference method. Standard for military fitness assessments."}]
average
16.436015
fatMassKg
null
leanMassKg
null
category
Fitness
coachSummary
Your estimated body fat is 16.4% (Fitness range for males) using the Navy method.

FAQ

How accurate are body fat estimation methods?
DEXA scan: ±1-2% (gold standard, requires equipment). Hydrostatic weighing: ±2-3%. BodPod (air displacement): ±2-3%. Skinfold calipers (trained user): ±3-5%. Bioelectrical impedance (home scales): ±5-8%, highly variable with hydration. This calculator uses the Navy Method (circumference-based), typically ±3-5%.
What is a healthy body fat percentage?
For men: essential fat 2-5%, athletic 6-13%, fitness 14-17%, average 18-24%, obese 25%+. For women: essential fat 10-13%, athletic 14-20%, fitness 21-24%, average 25-31%, obese 32%+. Women require higher essential fat due to hormonal and reproductive function.
Why does my body fat percentage seem high even though I exercise?
Exercise alone rarely produces large fat loss without a calorie deficit. Cardio burns 200-400 calories per session — easily offset by diet. Resistance training adds muscle but may not reduce fat significantly without dietary control. Fat loss requires a sustained calorie deficit regardless of exercise type.
How quickly can I reduce body fat percentage?
Sustainable fat loss is 0.5-1% of body weight per week. A 180 lb person can lose roughly 1-1.5 lb per week on a 500-750 calorie deficit. Faster loss accelerates muscle loss. Body fat percentage dropping 1-2 points per month is excellent progress; 3+ months is needed for visible changes.
General fitness estimates — not medical advice. Consult a healthcare professional for medical decisions.