How to Calculate Body Fat Percentage (Navy Method)
Learn how to calculate body fat percentage using the US Navy formula. Step-by-step instructions for men and women, with body fat category charts.
Body fat percentage is a more meaningful health metric than BMI because it directly measures the proportion of fat mass in your body. The US Navy formula is one of the most accurate methods that does not require expensive equipment — just a tape measure.
What You Need to Measure
For men: Height, waist circumference (at narrowest point, above navel), neck circumference (below larynx)
For women: Height, waist circumference (at navel), hip circumference (at widest point), neck circumference
Take each measurement 3 times and use the average. Measure at the same time of day (morning is best — before eating or drinking) for consistency.
The US Navy Formula
Men:
Body Fat % = 86.010 × log₁₀(waist − neck) − 70.041 × log₁₀(height) + 36.76
Women:
Body Fat % = 163.205 × log₁₀(waist + hip − neck) − 97.684 × log₁₀(height) − 78.387
All measurements in the same unit (all cm or all inches).
Example Calculation (Man, Metric)
Height: 178 cm, Waist: 85 cm, Neck: 38 cm
Body Fat % = 86.010 × log₁₀(85 − 38) − 70.041 × log₁₀(178) + 36.76
= 86.010 × log₁₀(47) − 70.041 × log₁₀(178) + 36.76
= 86.010 × 1.6721 − 70.041 × 2.2504 + 36.76
= 143.81 − 157.63 + 36.76
= 22.9% — Average category
Body Fat Percentage Categories
| Category | Men | Women |
|---|---|---|
| Essential Fat | 2 – 5% | 10 – 13% |
| Athletes | 6 – 13% | 14 – 20% |
| Fitness | 14 – 17% | 21 – 24% |
| Average | 18 – 24% | 25 – 31% |
| Obese | 25%+ | 32%+ |
Accuracy of the Navy Method
The Navy formula has a margin of error of ±3–4% compared to DEXA (Dual-Energy X-ray Absorptiometry), which is considered the gold standard. This means if your result is 22%, your true body fat is likely between 18–26%.
For better accuracy at home, consistency matters more than the exact number. Measure the same way at the same time and track trends over weeks and months rather than comparing single measurements.
Other Body Fat Methods
- DEXA scan: Gold standard, ±1% accuracy, medical imaging, $50–$150
- Skinfold calipers: ±3–5% with trained technician; inexpensive but technique-dependent
- Bioelectrical impedance (BIA): ±3–5%, varies with hydration level — consumer scales use this
- Hydrostatic weighing: ±1–2%, highly accurate, requires full body submersion
- Bod Pod: ±1–3%, air displacement plethysmography, often found at universities
Try our Body Fat Calculator to do this calculation instantly — no formulas needed.