Body fat calculator: tape method and BMI method, with error bands
Body fat, Circumference method (Hodgdon & Beckett 1984)worked example
19.9%
- Tape method (Hodgdon & Beckett)
- 19.9%+/-4
- BMI method (Deurenberg)
- 22.6%+/-4.1cannot tell muscle from fat
- Gap between the two methods
- 2.7 points
- Waist to height ratio
- 0.5
- NICE grouping for that ratio
- the range NICE groups as increased central adiposity
- Lean mass implied
- 64.1 kg
- Fat mass implied
- 15.9 kg
Both routes are estimates, and each is printed with the error band its own paper reports: 4.1 percentage points for Deurenberg 1991. An estimate of 19.9% honestly means somewhere in the range 15.9% to 23.9%. This page does not tell you what percentage you should be, because published reference ranges vary by the body that set them and a target is a conversation for you and a clinician.
Realistic range
15.9% to 23.9%
This site shows a +/-4 percentage-point band. // VERIFY: that figure is taken from secondary summaries reporting the method agrees with hydrostatic weighing to within roughly 3-4 points, deliberately using the wider edge; the Naval Health Research Center reports state their own standard error and the DTIC scans were not machine-readable when this pack was built. Read reports 84-11 and 84-29 and replace it with the published figure. Do not narrow it from memory. Separately, the method is sensitive to tape placement: a centimetre of drift at the abdomen moves the answer by close to a full point.
Your waist is 90 cm and your height is 180 cm, a ratio of 0.5. NICE guideline NG246 groups that as the range NICE groups as increased central adiposity for adults with a BMI under 35. NICE summarises the 0.5 line as keeping your waist to less than half your height, which at your height is 90 cm. That describes a ratio, not you.
| Ratio | How NICE groups it | At 180 cm, that is a waist of |
|---|---|---|
| below 0.4 | below the range NICE groups as healthy central adiposity | below 72 cm |
| 0.4 to 0.49 | the range NICE groups as healthy central adiposity | 72 cm to 88.2 cm |
| 0.5 to 0.59 | the range NICE groups as increased central adiposity | 90 cm to 106.2 cm |
| 0.6 and above | the range NICE groups as high central adiposity | 108 cm and above |
A body fat calculator estimates what share of your weight is fat. This one runs the Hodgdon and Beckett tape method from your neck, waist and hip measurements and the Deurenberg BMI equation, shows each with the error band its own paper reports, and adds your waist to height ratio with the NICE bands.
- Body fat from circumferences (Hodgdon & Beckett, the tape method) — men: %BF = 86.010 x log10(abdomen - neck) - 70.041 x log10(height) + 36.76; women: %BF = 163.205 x log10(waist + hip - neck) - 97.684 x log10(height) - 78.387 (all measurements in inches). Verified against Hodgdon & Beckett, Naval Health Research Center reports 84-11 (men) and 84-29 (women), 1984 (This site shows a +/-4 percentage-point band. // VERIFY: that figure is taken from secondary summaries reporting the method agrees with hydrostatic weighing to within roughly 3-4 points, deliberately using the wider edge; the Naval Health Research Center reports state their own standard error and the DTIC scans were not machine-readable when this pack was built. Read reports 84-11 and 84-29 and replace it with the published figure. Do not narrow it from memory. Separately, the method is sensitive to tape placement: a centimetre of drift at the abdomen moves the answer by close to a full point.)
- Body fat from BMI (Deurenberg) — %BF = 1.20 x BMI + 0.23 x age - 10.8 x sex - 5.4 (sex: male 1, female 0). Verified against Deurenberg, Weststrate & Seidell, British Journal of Nutrition 1991 (The paper reports R^2 = 0.79 and a standard error of estimate of 4.1 percentage points in 1229 adults aged 7-83 with BMI 13.9-40.9. Four points is wide: at an estimate of 22% it means the honest reading is roughly 18-26%. Because the input is BMI, the equation cannot distinguish muscle from fat at all, so it reads high for heavily muscled bodies and low for lightly muscled ones.)
- Waist-to-height ratio bands (NICE) — waist / height: 0.4 to 0.49 healthy central adiposity, 0.5 to 0.59 increased central adiposity, 0.6 or more high central adiposity. Verified against NICE guideline NG246, Overweight and obesity management - identifying and assessing central adiposity (NICE states these bands apply to adults with a BMI under 35 kg/m2, of both sexes and all ethnicities, including adults with high muscle mass. Above a BMI of 35 the ratio adds little. NICE does not define a category below 0.4, so neither does this site - the tool says the ratio is below the range NICE groups as healthy rather than inventing a label for it.)
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Frequently asked questions
How do you measure body fat with a tape measure?
How accurate is a body fat calculator?
Why do the two methods give me different numbers?
What is a waist to height ratio, and what does NICE say about it?
Where exactly do I put the tape?
What body fat percentage should I be?
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