Body Density Calculator

Enter your skinfold sum, age and sex to get body density and body fat percent.

How it is calculated

The tool applies a Jackson-Pollock style quadratic equation to the skinfold sum S (millimetres) and age A (years). Men: density = 1.10938 − 0.0008267·S + 0.0000016·S² − 0.0002574·A. Women: density = 1.0994921 − 0.0009929·S + 0.0000023·S² − 0.0001392·A. Density is shown in g/cc and then converted with the Siri equation, body fat % = 495 ÷ density − 450. Anything other than female is treated as male. A sum of zero or less, an age of 0 or below or above 130, a density outside 0.9–1.15, or a fat figure at or below 0 % or above 75 % shows no result. The equation is quadratic, so it is only trustworthy for realistic sums; it is an estimate, not a lab density.

Worked example

A 30-year-old man with a skinfold sum of 60 mm. Linear term: 0.0008267 × 60 = 0.0496. Squared term: 0.0000016 × 3,600 = 0.00576. Age term: 0.0002574 × 30 = 0.00772. Density = 1.10938 − 0.0496 + 0.00576 − 0.00772 = 1.0578 g/cc. Body fat = 495 ÷ 1.0578 − 450 = 17.95%. The same 60 mm and age for a woman gives 1.0440 g/cc and 24.13%.

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Common mistakes

  • Entering a single skinfold or the sum of a different number of sites. The coefficients are fitted to one particular multi-site sum, so a one-site value reads as a very lean person.
  • Using the male setting for a woman. The same 60 mm and age 30 gives 17.95 % for a man but 24.13 % for a woman because the constants differ.
  • Entering the sum in centimetres. The equation works in millimetres, so 6 instead of 60 gives a near-zero body fat.
  • Trusting very low sums. A sum of 5 mm prints 1.00 % body fat, which no real person has, so treat extreme values with suspicion.
  • Pushing the sum to several hundred millimetres. The quadratic bends back (300 mm gives 46.17 %, 400 mm only 32.00 %), so very large sums are outside what it can model.

About this calculator

Body density — mass divided by volume, expressed in g/cm³ or g/mL — is estimated from the sum of skinfold thickness measurements taken at several standardized body sites (this calculator uses the Jackson-Pollock 3-site equations), combined with age and sex, since these regression equations were built from population data correlating skinfold thickness with lab-measured density from hydrostatic (underwater) weighing. Once body density is known, the Siri equation (Body fat % = (495 / density) − 450), developed by physicist William Siri in 1961, converts it into an estimated body fat percentage.

Exercise physiologists, athletic trainers, and body-composition labs use skinfold-based body density and the Siri equation as a practical, low-cost alternative to gold-standard methods like DEXA scans or hydrostatic weighing, since a set of skinfold calipers is far cheaper and more portable than either — though accuracy depends heavily on measurement technique consistency, which is why trained testers typically take each skinfold site three times and average the results.

This calculator takes your summed three-site skinfold measurements, age, and sex, computes your estimated body density using the relevant regression equation, and converts it to body fat percentage via the Siri equation.

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