Circumference methods are regressions: an individual result can differ from a lab measurement by several percentage points. Measure each site three times and average.
By the US Navy circumference method you carry about 16.9 % body fat (11.9 kg of fat and 58.1 kg of lean mass), which ACE classes as “Fitness”.
This is the metric form; the original inch-based Hodgdon–Beckett regression gives results a few tenths of a percent different.
Split weight into fat and lean mass
70×16.94%=11.86kg fat,58.14kg lean
The ACE category is read from the value rounded to 0.1 %.
About the body fat calculator
Body fat percentage is the share of body weight that is fat. The US Navy method (Hodgdon and Beckett, 1984) uses the logarithms of height and of waist minus neck, with the hip added for women. The Jackson-Pollock methods turn a sum of 3 or 7 caliper skinfolds and age into body density, which the Siri equation converts with %BF = 495 ÷ density − 450. The Deurenberg method estimates it from BMI, age and sex. Fat and lean mass follow from your weight.
People use it to follow changes in body composition that weight and BMI miss. With the defaults, a man 175 cm tall with a 38 cm neck and an 85 cm waist comes out at 16.9 % body fat, 11.9 kg of his 70 kg, which the American Council on Exercise (ACE) classes as fitness.
Each method is a regression fitted on adult samples, so a single reading can differ from a laboratory measurement by several percentage points. Repeat readings are comparable only when they use the same method and measurement sites.
How to calculate body fat percentage
Body fat percentage is fat mass divided by body weight. Outside a lab it is estimated from a tape measure (US Navy), skinfold calipers (Jackson-Pollock) or BMI and age (Deurenberg). For a 30-year-old man of 70 kg and 175 cm, four methods give 14.5 % to 18.1 %.
The rows below put one set of measurements through the men's and then the women's equations:
Body: age 30, 70 kg, 175 cm.
Tape: neck 38 cm, waist 85 cm, hips 97 cm. Hips enter only the women's equation.
The label is the American Council on Exercise (ACE) category, and it can change with the method. Through the women's equations, the same body is Athletes by skinfold but Average by tape or BMI, up to almost 10 points apart.
Switching methods between readings can also fake progress. Going from the BMI estimate to the 3-site skinfold would show the man with 2.5 kg less fat and nothing changed.
The US Navy method predicts body fat from height and a few tape measurements, using equations Hodgdon and Beckett fitted to Navy personnel in 1984. A woman 168 cm tall with a 33 cm neck, 76 cm waist and 100 cm hips comes out at 29.1 % body fat.
Both equations use base-10 logarithms of measurements in centimeters:
The bracketed part predicts body density. The outer "495 ÷ … − 450" is the Siri equation, which turns that density into a fat percentage. Age plays no part in either equation.
The women's equation worked by hand
The woman above weighs 64 kg.
Waist + hip − neck = 76 + 100 − 33 = 143 cm, and log(143) = 2.15534.
Fat mass: 64 × 29.1 % = 18.6 kg, which leaves 45.4 kg of lean mass.
How the Jackson-Pollock skinfold formulas work
Skinfold equations predict body density from the summed thickness of pinched folds of skin and the fat under them, plus age. The Siri step then converts density to a percentage, as in the Navy method.
With S the sum of the folds in millimeters and A the age in years, the density equations are:
Men, 3-site: 1.10938 − 0.0008267 S + 0.0000016 S² − 0.0002574 A
Women, 3-site: 1.0994921 − 0.0009929 S + 0.0000023 S² − 0.0001392 A
Men, 7-site: 1.112 − 0.00043499 S + 0.00000055 S² − 0.00028826 A
Women, 7-site: 1.097 − 0.00046971 S + 0.00000056 S² − 0.00012828 A
A 35-year-old man with a 14 mm chest, 24 mm abdominal and 18 mm thigh fold has S = 56 mm. His density is 1.10938 − 0.04630 + 0.00502 − 0.00901 = 1.05909, and 495 ÷ 1.05909 − 450 = 17.4 % body fat.
The men's equations were fitted on 308 men aged 18 to 61 and cross-checked on 95 more. The women's came from 249 women aged 18 to 55, and their authors advised care with women over 40.
How much a measuring error moves the result
For the woman in the Navy example, a 1 cm error at the waist, hip or neck shifts the result by about half a percentage point. A 1 cm error in height shifts it by about a quarter:
Measurement off by +1 cm
New body fat
Change
Waist
29.62 %
+0.49 points
Hip
29.62 %
+0.49 points
Neck
28.63 %
−0.49 points
Height
28.86 %
−0.26 points
Calipers are just as sensitive. Reading each of the man's three folds 1 mm thicker raises his result from 17.4 % to 18.2 %, moving him from the American Council on Exercise (ACE) Fitness band to Average.
How to take tape and skinfold measurements
With a tape, measure on bare skin, at the same time of day, after a normal breath out. Take the neck just below the larynx and the hips at the widest point of the buttocks. Men measure the waist at the navel, women at its narrowest point.
Lift the fold between the left thumb and index finger.
Apply the caliper jaws at right angles to the fold with the right hand.
Read at a fixed time after the jaws close; standards use 2 or 4 seconds.
Keep holding the fold until the reading is taken.
The same review found that standards disagree on where some sites are. The abdominal fold is taken 2, 3 or 5 cm to the side of the navel, vertical in some standards and horizontal in others.
Pick one written protocol, keep to it, and have the same person measure each time.
Healthy body fat percentage by age and sex
ACE's categories use the same bands at every age. The most widely used age-specific ranges come from Gallagher and colleagues (2000), who measured 1,626 adults in the UK, US and Japan with DXA and four-compartment models.
They worked out the body fat that corresponds to a BMI of 18.5, 25 and 30 at each age. For white adults, as tabulated by Colombo and colleagues (2008):
Age
Women: healthy
Women: obese from
Men: healthy
Men: obese from
20 to 39
21 to 33 %
39 %
8 to 21 %
26 %
40 to 59
23 to 35 %
41 %
11 to 23 %
29 %
60 to 79
25 to 38 %
43 %
13 to 25 %
31 %
Values between the healthy upper limit and the obese threshold correspond to a BMI of 25 to 29.9. The paper gives separate figures for African American and Asian adults, and its authors called the ranges provisional.
The two systems can disagree. The woman in the Navy example, at 29.1 %, is Average by ACE and inside Gallagher's healthy range at any age.
A 65-year-old woman at 36 % is Obese by ACE, whose obese band starts at 32 % for women. By Gallagher she sits inside the healthy range of 25 to 38 % for her age.
Which body fat method to use
US Navy tape. Needs only a tape measure and is the easiest to repeat at home.
Jackson-Pollock skinfolds. Needs calipers, practice and ideally a second person for the back and arm sites. The 7-site version adds the midaxillary and subscapular folds to the five folds the two 3-site versions use between them.
BMI-based (Deurenberg). Needs only height, weight and age: 1.20 × BMI + 0.23 × age − 10.8 × sex − 5.4, with sex 1 for men and 0 for women. It cannot tell muscle from fat, and Deurenberg's own paper found it slightly overestimated body fat in obese people.
ACE's reference ranges put average at 18–24 % for men and 25–31 % for women, fitness at 14–17 % and 21–24 %, and athletes at 6–13 % and 14–20 %. Obese starts at 25 % for men and 32 % for women. Essential fat, the minimum needed for normal physiological function, is 2–5 % for men and 10–13 % for women. These are fitness-industry reference bands, not clinical diagnostic cut-offs.
How close are body fat formulas to a lab test?
Their standard errors are about 3 to 4 percentage points of body fat. Each formula was fitted against underwater weighing: the Jackson-Pollock men's equations had a standard error of 0.0073 g/ml in body density (about 3 points of body fat), the women's 3.6 to 3.8 points, and Deurenberg's BMI formula 4.1 points. Laboratory methods such as underwater weighing and DXA scans remain the reference.
How do you measure for the US Navy body fat method?
Use a non-stretch tape that sits snug on the skin without compressing it. Measure the neck just below the larynx and the waist at the navel for men or at the narrowest point for women; women also measure the hips at the widest point of the buttocks. Averaging three readings per site helps, because at the defaults a 1 cm change in waist moves the result by about 0.8 percentage points.
What is the difference between body fat percentage and BMI?
BMI divides weight by height squared and says nothing about what the weight is made of, while body fat percentage estimates the share that is fat. An 80 kg, 178 cm man has a BMI of 25.2 whatever his build; Deurenberg's formula puts a 40-year-old at 23.3 % fat, but a muscular man of the same size measures far lower by tape or calipers. In Deurenberg's 1991 data, BMI with age and sex explained 79 % of the variation in measured body fat.
About this calculator
Navy (men, cm):Siri:Deurenberg:1.0324−0.19077log10(waist−neck)+0.15456log10(h)495−450%BF=density495−4501.20BMI+0.23age−10.8sex−5.4
Sources
Hodgdon JA, Beckett MB. Prediction of percent body fat for U.S. Navy men and women from body circumferences and height. Naval Health Research Center reports 84-11 and 84-29 (1984)
Jackson AS, Pollock ML. Generalized equations for predicting body density of men. Br J Nutr 1978;40:497–504
Jackson AS, Pollock ML, Ward A. Generalized equations for predicting body density of women. Med Sci Sports Exerc 1980;12:175–181
Siri WE. Body composition from fluid spaces and density (1961)
Deurenberg P, Weststrate JA, Seidell JC. Body mass index as a measure of body fatness. Br J Nutr 1991;65:105–114
For information only, not medical advice. These formulas describe populations, not you; talk to a clinician before acting on a result.
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