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Body Fat (Navy Method)

The US Navy formula takes the waist-minus-neck girth and your height through logarithms to estimate fat percentage. The female version uses different coefficients.

Your numbers

Body fat

16.9%

What it means

16.9% falls inside the usual healthy range.

Formula

Body fat = 495 ÷ (1.0324 − 0.19077·log(Waist (cm)−Neck (cm)) + 0.15456·log(Height (cm))) − 450

This is an estimate with roughly 3–4 points of error — watch the trend rather than the absolute number.

What to enter

InputDefaultAccepted range
Sex (M1 / F0)Where the formula splits by sex — enter 1 for male, 0 for female.10 ~ 1
Height (cm)Height in centimetres; converted to metres inside the formula.175100 ~ 250
Waist (cm)Waist at navel height, measured after breathing out.8540 ~ 200
Neck (cm)Neck circumference at its narrowest point.3820 ~ 80

Step by step

FormulaBody fat = 495 ÷ (1.0324 − 0.19077·log(Waist (cm)−Neck (cm)) + 0.15456·log(Height (cm))) − 450
With the default numbersBody fat = 495 ÷ (1.0324 − 0.19077·log(85−38) + 0.15456·log(175)) − 450
AnswerBody fat = 16.9 %

Quick reference table

Results when only Height (cm) changes and everything else stays put.

Height (cm)Body fat (%)
10034.1
13125.7
17516.9
2506.6

What each result means

ResultAt default values
Body fat (%)The share of body weight that is fat.16.9

Common mistakes

This is an estimate with roughly 3–4 points of error — watch the trend rather than the absolute number.

Glossary

Sex (M1 / F0)
Where the formula splits by sex — enter 1 for male, 0 for female.
Height (cm)
Height in centimetres; converted to metres inside the formula.
Waist (cm)
Waist at navel height, measured after breathing out.
Neck (cm)
Neck circumference at its narrowest point.
Body fat
The share of body weight that is fat.

Frequently asked questions

Q. How is Body Fat (Navy Method) calculated?

Body fat = 495 ÷ (1.0324 − 0.19077·log(Waist (cm)−Neck (cm)) + 0.15456·log(Height (cm))) − 450 — The US Navy formula takes the waist-minus-neck girth and your height through logarithms to estimate fat percentage. The female version uses different coefficients.

Q. Can you walk through an example?

With Sex (M1 / F0) 1, Height (cm) 175, Waist (cm) 85, Neck (cm) 38, the answer is Body fat 16.9%.

Q. What do I need to enter?

Enter Sex (M1 / F0), Height (cm), Waist (cm), Neck (cm). The result recalculates as you type, and an empty box counts as zero.

Q. How much does the answer move if I change a number?

Changing only Height (cm) moves the answer to Height (cm) 100 → Body fat (%) 34.1 and Height (cm) 250 → Body fat (%) 6.6. The table below lays out five steps.

Q. How are the numbers rounded?

Money is shown to the nearest whole unit, percentages to one decimal place and everything else to two. What you see is rounded; the calculation itself carries the unrounded value forward.

Q. Anything to watch out for?

This is an estimate with roughly 3–4 points of error — watch the trend rather than the absolute number.

Related calculators

These calculators help you understand health figures; they do not replace diagnosis or prescription. See a clinician if you have symptoms.