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.
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
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.
Related tools
- 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.