There is no single agreed formula for estimating body fat from a tape measure. There are several, they were built from different measurements on different groups of people, and they disagree. Here is the same man run through all three.
US Navy circumference
13.7%
Healthy range
- What it needs
- Height, neck and waist. Women add a hip measurement.
- What it is good at
- Uses more than one circumference, so it can tell a thick neck from a wide waist. With a tape measure to hand it is the most informed of the three.
- Where it falls down
- The equation was fitted on US Navy personnel, so it assumes a build and a fat distribution close to theirs. Here it returns the lowest of the three figures.
Hodgdon and Beckett, Naval Health Research Center, 1984
Relative Fat Mass
21.5%
Above healthy range
- What it needs
- Height and waist. Nothing else.
- What it is good at
- Published in 2018 and checked against DEXA scans in a large US national survey, where it estimated whole body fat with less error than BMI did.
- Where it falls down
- One circumference is all it knows. It cannot see anything about you above the waist, muscle included.
Woolcott and Bergman, Scientific Reports, 2018
Deurenberg, from BMI
19.8%
Healthy range
- What it needs
- No tape measure at all. Height, weight, age and sex.
- What it is good at
- The fallback that always works. If all you have is a set of scales and a door frame, this still gives you an estimate.
- Where it falls down
- BMI is its only body input, so it inherits every blind spot BMI has. Muscle and fat count the same to it.
Deurenberg, Weststrate and Seidell, British Journal of Nutrition, 1991
7.8 percentage points separate the highest and the lowest, for one man, on one day, from one set of measurements. Two of the three call him healthy. The third puts him above the healthy range.
None of them is lying. They are different estimates built for different inputs, and the healthy bands they are read against come from Gallagher and colleagues, 2000, which sets a healthy range of 8 to 20 percent for a man of this age.
What to do with that: pick the method your measurements support, measure the same way each time, and watch your own direction of travel. A body fat percentage with no method attached to it is not information, and comparing your number against somebody else's from a different formula tells you nothing.
All three are estimates from a tape measure, not body composition scans, and none of them diagnoses anything. If a result concerns you, take it to a doctor rather than to a calculator.