Body Fat Percentage Calculator

Estimate adult body fat percentage, fat mass, and lean body mass using the Hodgdon & Beckett (1984) U.S. Navy circumference method—with Imperial and Metric support.

Measure just below the larynx (Adam's apple) with tape sloping slightly downward to the front.
Men: Measure horizontally around the abdomen at the level of the navel (umbilicus).
U.S. Navy Anatomical Tape Measurement Protocol
  • Neck: Measure immediately below the larynx (Adam's apple), keeping the tape snug against the skin without compressing tissue.
  • Waist (Men): Measure horizontally across the navel (umbilicus) with arms relaxed at the sides at the end of a normal exhalation.
  • Waist (Women): Measure horizontally at the point of minimal abdominal width (usually midway between the lower ribs and iliac crest).
  • Hip (Women only): Measure horizontally around the widest circumference of the hips and gluteal region with feet together.
RESULT
16.5%Estimated U.S. Navy Body Fat Percentage
Estimated Fat Mass29.7 lb (13.5 kg)
Estimated Lean Body Mass150.3 lb (68.1 kg)
Estimated Body Density (Siri)1.0611 g/cm³
General Fitness Reference CategoryFitness Range (General Fitness Reference)
Body Composition (Fat Mass vs. Lean Mass)
Fat Mass vs. Lean Body Mass Share 🟠 Fat Mass: 16.5% (29.7 lb) 🔵 Lean Body Mass: 83.5% (150.3 lb) U.S. Navy (Hodgdon & Beckett, 1984) • Siri Density: 1.0611 g/cm³
Non-Diagnostic Circumference Estimate Notice: For adults aged 18+ only. The U.S. Navy circumference method (Hodgdon & Beckett, 1984) is an anthropometric field screening estimate with a typical ±3% to ±4% standard error compared to laboratory hydrostatic weighing or DXA scans. General fitness categories (such as ACE reference ranges) are descriptive fitness benchmarks, not universal medical diagnostic thresholds. No health inputs are stored.

U.S. Navy Circumference Methodology (Hodgdon & Beckett, 1984)

The U.S. Navy circumference method (Hodgdon & Beckett, 1984) estimates adult body fat percentage from height, neck, and waist circumferences (plus hip circumference for women). In inches, the male equation is BF% = 86.010 × log10(Waist − Neck) − 70.041 × log10(Height) + 36.76, and the female equation is BF% = 163.205 × log10(Waist + Hip − Neck) − 97.684 × log10(Height) − 78.387.

All metric circumference and height inputs (cm) are converted to inches using the exact international definition 1 inch = 2.54 cm so that Imperial and Metric modes yield identical results without coefficient drift. Once BF% is obtained, Fat Mass = Weight × (BF% / 100), Lean Body Mass = Weight − Fat Mass, and estimated Body Density is derived via Siri's (1961) two-compartment relationship Db = 495 / (BF% + 450).

Scientific Assumptions & Field Limitations

  • Derived from Naval Health Research Center (NHRC) Reports No. 84-29 (Men) and No. 84-11 (Women) by J.A. Hodgdon and M.B. Beckett (1984) for adults aged 18+.
  • Requires positive logarithm arguments: Waist − Neck > 0 for men, and Waist + Hip − Neck > 0 for women.
  • Field tape measurements have a typical standard error of estimate (SEE) of ±3% to ±4% compared to laboratory hydrostatic weighing or dual-energy X-ray absorptiometry (DXA).
  • Distinguished from modern DoD/Navy 1-site abdominal tape screening protocols; this calculator implements the classic multi-site Hodgdon & Beckett (1984) research method.
  • General fitness reference tiers (such as ACE categories) are descriptive, non-diagnostic educational benchmarks, not clinical diagnostic criteria; lean mass is a model estimate derived from estimated body fat percentage.

Verified Worked Examples

Example 1: Adult Male — Height 70 in (5'10"), Weight 180 lb, Neck 15.5 in, Waist 34.0 in

Waist − Neck = 34.0 − 15.5 = 18.5 in. Using Hodgdon & Beckett (1984): BF% = 86.010 × log10(18.5) − 70.041 × log10(70) + 36.76 = 108.99 − 129.23 + 36.76 = 16.5%.

Estimated Body Fat: 16.5% | Fat Mass: 29.7 lb (13.5 kg) | Lean Body Mass: 150.3 lb (68.2 kg) | Body Density: 1.0611 g/cm³.

Example 2: Adult Female — Height 65 in (5'5"), Weight 140 lb, Neck 13.0 in, Waist 28.0 in, Hip 38.0 in

Waist + Hip − Neck = 28.0 + 38.0 − 13.0 = 53.0 in. Using Hodgdon & Beckett (1984): BF% = 163.205 × log10(53.0) − 97.684 × log10(65) − 78.387 = 281.41 − 177.09 − 78.387 = 25.9%.

Estimated Body Fat: 25.9% | Fat Mass: 36.3 lb (16.5 kg) | Lean Body Mass: 103.7 lb (47.0 kg) | Body Density: 1.0401 g/cm³.

Frequently Asked Questions (FAQ)

How accurate is the U.S. Navy body fat circumference method?

In validation studies by Hodgdon and Beckett (1984) at the Naval Health Research Center, circumference equations showed correlation coefficients of r = 0.85 to 0.90 against hydrostatic (underwater) weighing, with a standard error of estimate (SEE) of roughly ±3.2% to ±3.7% (approximately ±3% to ±4% versus clinical DXA). While less precise than laboratory imaging, it is one of the most reliable non-invasive field methods when measurements are taken consistently at standardized anatomical landmarks.

Where exactly should I place the tape measure for Men vs. Women?

For both men and women, measure the neck just below the larynx (Adam's apple). For men, measure the waist horizontally across the navel (umbilicus) at the end of a normal exhalation. For women, measure the waist horizontally at the narrowest part of the torso (natural waist) and additionally measure the hips horizontally around the widest part of the buttocks/gluteal region.

How does this method differ from current military 1-site tape protocols?

This calculator implements the classic multi-site Hodgdon & Beckett (1984) equations (NHRC Reports 84-29 and 84-11), measuring neck and waist (and hips for women). Some modern military service branches (such as DoD 2023 updates) use a single-site abdominal tape screening protocol for body composition pass/fail compliance before secondary assessment.

Are the ACE fitness categories medical diagnostic tiers?

No. Fitness category tiers (such as American Council on Exercise reference ranges) are descriptive population fitness benchmarks, not clinical diagnostic criteria. Lean mass and fat mass outputs are mathematical model estimates based on the circumference equations, not direct cellular tissue scans.

Why does the female U.S. Navy formula include hip circumference while the male formula does not?

Adult men and women exhibit different typical patterns of subcutaneous fat distribution (android/abdominal vs. gynoid/gluteofemoral). During NHRC regression modeling (Report 84-11), adding hip circumference significantly reduced prediction error for female service members compared to waist-and-neck alone.

How do I use my estimated Body Fat % with the TDEE Calorie Calculator?

Once you have your estimated body fat percentage and Lean Body Mass (LBM) from this calculator, you can enter your Body Fat % into PeekAndDo's TDEE & Daily Calorie Calculator and select the Katch-McArdle BMR formula, which calculates resting energy expenditure directly from Lean Body Mass.