Body fat percentage from BMI calculator
Deurenberg fitted body fat against BMI, age and sex. It needs nothing but a scale and a tape for height.
years
Body fat
18.13%
- BMI
- 22.86 kg/m2
- Fat mass
- 12.69
- Lean mass
- 57.31
Show the working
- Weight = 70
- Height = 175
- Age = 30
- Sex = 1
- BMI = 70 / (175/100)^2 = 22.8571
- Body fat = 1.20 * 22.8571 + 0.23 * 30 - 10.8 * 1 - 5.4 = 18.1286
- Fat mass = 70 * 18.1286 / 100 = 12.69
- Lean mass = 70 - 12.69 = 57.31
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- %fat = 1.20 x BMI + 0.23 x age - 10.8 x sex - 5.4, with sex = 1 for men and 0 for women
Because it is built on BMI, it inherits every one of BMI limitations: it will call a lean, muscular person fat.
This is a population formula, not a diagnosis. Individual metabolism, body composition and medical history all move the real answer, so treat the number as a starting point and talk to a clinician about anything that matters.
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