Siri Body Fat Percentage Calculator
Turn body density into body-fat percentage with the Siri equation.
Result
How it is calculated
The Siri equation turns a measured body density into a fat percentage: BF% = 495 / D − 450, where D is body density in g/cm³ (kg/L). Fat mass is W × BF% / 100 and lean mass is W − fat mass, with W the body weight in kilograms. Both density and weight are required. The tool accepts a density above 0.9 and up to 1.2, but gives no result if the computed body fat is below 0% or above 75%, which in practice means a density from about 0.943 to just under 1.1. It assumes fat and lean tissue have fixed densities, so the density itself must come from underwater weighing or an air-displacement chamber, not from a scale.
Worked example
A person weighs 80 kg and was measured at a body density of 1.06 g/cm³. First, 495 / 1.06 = 466.98. Subtracting 450 gives a body fat of 16.98%. Fat mass is 80 × 16.98 / 100 = 13.58 kg, and lean mass is 80 − 13.58 = 66.42 kg.
Common mistakes
- Typing a density in kg/m³ (1060) or as a ratio from a different test. The field expects g/cm³, around 1.03 to 1.09 for most adults, and 1060 returns no result.
- Entering body weight in the density field or the other way round. A value like 80 in the density field is outside the 0.9 to 1.2 window and is rejected.
- Using a density at or above 1.1. That would mean zero or negative fat, so the tool returns nothing instead of a number.
- Forgetting that weight is needed. Without it the percentage alone is not shown, because fat and lean mass cannot be computed.
- Comparing the result with skinfold or BMI-based estimates as if they were the same measurement. Siri converts a density, so its accuracy depends entirely on how well the density was measured.
Sources
- Body composition from fluid spaces and density: analysis of methods. 1961 — Nutrition, 1993 (Siri, reprint)
About this calculator
The Siri equation, developed by William Siri in 1961, converts a measured body density into body-fat percentage using the formula Body Fat % = (495 / Density) − 450. Body density itself is typically measured through hydrostatic (underwater) weighing or air-displacement plethysmography (a Bod Pod), both of which estimate density from a person's weight and volume — techniques that require lab equipment rather than a bathroom scale.
Because it's derived from a two-compartment model (assuming the body is only fat mass and lean mass with fixed densities), the Siri equation remains a reference standard that other, simpler body-fat estimation methods are validated against.
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