Formula Guide

    How to Calculate Body Fat Percentage (Navy Method)

    The U.S. Navy body fat method estimates body fat percentage using simple tape measurements — no equipment beyond a flexible measuring tape required. While less accurate than DEXA scans or hydrostatic weighing, it is considerably more accessible and accurate enough for tracking trends over time. The formula was developed by the U.S. Navy to assess fitness standards and has been validated against underwater weighing.

    Last updated: March 31, 2026

    The Formula

    Men:
      %BF = 495 ÷ (1.0324 − 0.19077×log₁₀(waist−neck) + 0.15456×log₁₀(height)) − 450
    
    Women:
      %BF = 495 ÷ (1.29579 − 0.35004×log₁₀(waist+hip−neck) + 0.22100×log₁₀(height)) − 450
    All measurements in centimetres. Waist measured at the navel (men) or narrowest point (women). Neck measured just below the larynx. Hip measured at the widest point (women only).

    Variable Definitions

    SymbolNameDescription
    waistWaist CircumferenceMeasured at the navel for men; at the narrowest point of the torso for women, in cm
    neckNeck CircumferenceMeasured just below the larynx (Adam's apple), in cm
    hipHip CircumferenceWomen only — measured at the widest point of the hips/buttocks, in cm
    heightHeightStanding height in centimetres

    Step-by-Step Example

    A man with the following measurements: waist 90 cm, neck 40 cm, height 180 cm.

    Given

    Waist:90 cmNeck:40 cmHeight:180 cm

    Solution

    1. 1
      Calculate waist − neck: 90 − 40 = 50 cm
    2. 2
      Calculate log₁₀(50): log₁₀(50) ≈ 1.6990
    3. 3
      Calculate log₁₀(180): log₁₀(180) ≈ 2.2553
    4. 4
      Calculate the denominator: 1.0324 − (0.19077 × 1.6990) + (0.15456 × 2.2553)
    5. 5
      Expand: 1.0324 − 0.3241 + 0.3485 = 1.0568
    6. 6
      Divide 495 by the denominator: 495 ÷ 1.0568 = 468.4
    7. 7
      Subtract 450: 468.4 − 450 = 18.4%

    Estimated body fat is 18.4%, which falls in the Fitness category for men (14–17% is Fitness, 18–24% is Acceptable).

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    Common Mistakes to Avoid

    Taking measurements incorrectly — the waist measurement must be at the navel for men, not the narrowest point. Even a 1 cm error can shift the result by 1–2%.

    Forgetting to include the hip measurement for women — the women's formula requires three measurements (waist, neck, hip).

    Using inches instead of centimetres — the formula is calibrated for centimetres. Multiply inches by 2.54 to convert.

    Expecting laboratory-level precision — the Navy method has a standard error of ±3–4% body fat. It is useful for tracking changes, not for exact values.

    Frequently Asked Questions

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