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Health & Fitness / Body Composition

Body Fat Calculator

Pick your measurement set, then enter the circumferences to the nearest half inch. This uses the US Navy circumference method, the same tape test the military services use for their body composition screening.

Body fat
17.5 %
Fat mass
31.5 lb
Lean body mass
148.5 lb
EssentialAthleteFitnessAverageAbove average17.51 %
Body fat percentage against the standard male reference ranges.

US Navy circumference method. For men, %BF = 86.010 × log₁₀(waist − neck) − 70.041 × log₁₀(height) + 36.76. For women, %BF = 163.205 × log₁₀(waist + hip − neck) − 97.684 × log₁₀(height) − 78.387. All measurements in inches.

Written by
MPhil in Mathematics, Founder of Mathovia
Updated

Mathematics verification: Mathematical formulas, calculations, worked examples and solutions are reviewed for accuracy before publication. How we check our work

A bathroom scale tells you what you weigh, not what you are made of. Two people at 180 pounds and the same height can be carrying twenty pounds’ difference in fat, and body fat percentage is the number that separates them. The tape method below needs nothing but a soft tape measure and gets close enough to be genuinely useful.

Body Fat Calculator formula
The Body Fat formula

The Navy circumference formula

For men, using inches:

For women, with the hip circumference added:

is the waist, the neck, the hip at its widest, and the height — all in inches.

The logarithms look intimidating but they are doing something sensible. Body fat does not rise linearly with waist size; the first few inches above a lean baseline represent much more fat than the same inches added at a larger waist. A logarithmic fit captures that curve, which is why this method beats simple waist-to-height ratios.

Worked example

A man 70 inches tall, 34-inch waist, 15-inch neck, weighing 180 pounds.

Step 1 — the circumference difference.

Step 2 — the two logarithms.

Step 3 — substitute.

Step 4 — split the weight.

Seventeen and a half percent puts him at the top of the fitness range — lean enough to look athletic clothed, not lean enough to show much definition.

Body Fat Calculator worked example diagram
A visual read of the worked example above — the same numbers the calculator returns for its default inputs.

Reference ranges

CategoryMenWomen
Essential fat2–5%10–13%
Athlete6–13%14–20%
Fitness14–17%21–24%
Average18–24%25–31%
Above average25%+32%+

The gap between the columns is not a matter of fitness. Women carry more essential fat for reproductive and hormonal function, and dropping below roughly 12 percent has real physiological consequences. A man at 20 percent and a woman at 20 percent are in genuinely different situations.

How to measure so the number means something

Neck. Just below the larynx, tape sloping slightly downward toward the front. Do not flex.

Waist, men. At the navel, level all the way round. Breathe out normally first — not a forced exhale, and definitely not held in.

Waist, women. At the narrowest point of the torso, which is usually an inch or two above the navel.

Hip, women. At the widest point of the buttocks, feet together.

Consistency beats precision. The tape method is more useful for tracking change than for a single absolute figure. Measure at the same time of day, in the same conditions, with the same tape, and compare weeks rather than days.

Round to the nearest half inch. A quarter-inch error on the waist moves the result by roughly 0.4 percentage points, which is smaller than the day-to-day variation from hydration and food in the gut.

How this compares to other methods

MethodTypical errorCost
DEXA scan±1–2%$50–150 per scan
Hydrostatic weighing±2–3%lab access
Bod Pod±2–3%lab access
Skinfold calipers, trained±3–4%cheap, needs skill
Navy tape method±3–4%a tape measure
Bioelectrical impedance scale±4–8%cheap, very noisy
BMInot a fat measurefree

The tape method holds up well against far more expensive options, which is why the military uses it on thousands of people rather than buying scanners. Its weakness is at the extremes: very lean people tend to read a few points high, and heavily muscled people with thick necks read low, because the neck term over-corrects for them.

Impedance scales deserve their reputation. They infer body composition from how easily a small current passes through you, which depends heavily on hydration — enough that the same person can read three points apart morning and evening.

Body fat versus BMI

BMI is weight over height squared. It knows nothing about composition, which is why it labels muscular people overweight and misses so-called normal-weight obesity entirely. Two men both at BMI 27 can be at 12 and 30 percent body fat.

That said, BMI is a reasonable population-level screen and takes no tape measure at all. The BMI calculator covers it, and the two numbers are best read together — BMI for a quick check, body fat for what is actually going on.

Common mistakes

  • Pulling the tape tight. It should sit flush without compressing skin. Over-tightening the waist reads lean; over-tightening the neck reads fat.
  • Measuring the waist at the belt line. Use the navel for men and the narrowest point for women, not wherever trousers happen to sit.
  • Sucking in. It moves the result by several percentage points and fools nobody.
  • Comparing to a different method. A tape reading and a scale reading will not agree. Pick one and stay with it.
  • Reading too much into one measurement. Weekly trends are signal; day-to-day changes are mostly water.
  • Using the male formula for women. They are separately fitted and not interchangeable — the female version needs the hip measurement for a reason.

If your measurements are in centimetres, convert them first with the centimeters to inches converter; the formula constants are fitted for inches and will not give a sensible answer in metric.

Sources and assumptions

This calculator assumes:

  • Measurements follow the US Navy circumference method: neck, waist (and hips for women), and height.
  • The result is an estimate; tape measurements typically differ from lab methods by several percentage points.

Sources:

  • Hodgdon, J. A. and Beckett, M. B., Prediction of percent body fat for U.S. Navy men and women from body circumferences and height (1984), Naval Health Research Center

Figures last reviewed: . Educational estimates, not professional advice.

About the formula: US Navy circumference method. For men, %BF = 86.010 × log₁₀(waist − neck) − 70.041 × log₁₀(height) + 36.76. For women, %BF = 163.205 × log₁₀(waist + hip − neck) − 97.684 × log₁₀(height) − 78.387. All measurements in inches.

Frequently Asked Questions

How do you calculate body fat with a tape measure?+

The US Navy method uses circumferences and height. For men, . Women add the hip measurement, because fat distribution differs enough that a single waist figure is a poor predictor.

How accurate is the Navy body fat formula?+

It lands within about 3 to 4 percentage points of a DEXA scan for most people, which is good for a tape measure and free. It is least accurate at the extremes — very lean athletes usually read high, and very muscular people with a thick neck read low.

What is a healthy body fat percentage?+

For men, roughly 14 to 17 percent is the fitness range and 18 to 24 is average. For women the equivalent figures are 21 to 24 and 25 to 31. Women carry more essential fat for physiological reasons, so the two scales are not comparable.

Where exactly do I measure my waist?+

At the navel for men, and at the narrowest point of the torso for women. Stand relaxed, breathe out normally, and keep the tape level all the way round without pulling it tight enough to compress the skin. Measuring in a different place each time is the main source of week-to-week noise.

Why does the formula need my neck measurement?+

The neck acts as a proxy for frame size and lean mass. Two people with the same waist but different builds carry different amounts of fat, and subtracting the neck circumference separates some of that out. Measure just below the larynx, with the tape sloping slightly down at the front.

Is this the same as the Army body fat test?+

It is the same family of circumference-based tape test, but the services have revised their own standards at different times and the current Army procedure under AR 600-9 differs in which sites it uses. Treat this as the Navy method — for an official assessment, use your service's current published tables.

How is lean body mass calculated?+

Lean mass is total weight minus fat mass. If you weigh 180 lb at 17.5 percent body fat, fat mass is lb and lean mass is lb. Lean mass includes muscle, bone, organs and water — not just muscle.

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