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Body Fat % (Navy, Men)

US Navy body-fat estimate for men from tape measurements.

Formula

BF=4951.0324−0.19077log⁡10(w−n)+0.15456log⁡10h−450BF = \frac{495}{1.0324 - 0.19077\log_{10}(w-n) + 0.15456\log_{10}h} - 450

Variables

wWaist (cm)
nNeck (cm)
hHeight (cm)

How it works

This equation estimates a man's body-fat percentage from simple tape measurements by using the difference between waist and neck size, along with height, to infer overall body composition. It comes from Navy population studies that fit measured circumferences to more direct body-fat assessments, so it is an empirical prediction formula rather than a physiological law. The logarithms compress the scale of body measurements and help the equation match the non-linear way body fat changes as body size changes.

When to use it

Use this when you need a quick field estimate of body fat for an adult male using only a measuring tape, especially in fitness, military, or screening contexts. It is useful for tracking trends over time, but not for clinical diagnosis or highly precise assessment.

Worked example, step by step

Suppose a man has waist = 90 cm, neck = 40 cm, and height = 180 cm. 1) Compute waist minus neck: w - n = 90 - 40 = 50 2) Take base-10 logs: log10(50) = 1.6990, log10(180) = 2.2553 3) Substitute into the denominator: 1.0324 - 0.19077(1.6990) + 0.15456(2.2553) = 1.0324 - 0.3242 + 0.3485 = 1.0567 4) Compute the fraction: 495 / 1.0567 = 468.4 5) Subtract 450: BF = 468.4 - 450 = 18.4% Final answer: body fat percentage ≈ 18.4%

Common mistakes to avoid

  • Using inches instead of centimetres without converting first
  • Swapping the waist and neck measurements or forgetting to subtract neck from waist
  • Rounding too early, which can noticeably change the final percentage

Did You Know?

The U.S. Navy body-fat method uses just a tape measure, offering a cheap alternative to costly scans.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026