Body Mass Index (BMI) Calculator
BMI = mass / height² - see the formula with your own numbers, an age-aware body-fat estimate, and the healthy weight range for your height.
the limits of a single number 🖖
BMI was devised in the 1830s by Adolphe Quetelet as a population-level statistic, not a diagnostic tool for individuals. It cannot distinguish muscle from fat, so a bodybuilder and a sedentary person of the same height and weight can share an identical BMI while having very different body compositions. The Deurenberg equation used here compensates by adding age and sex terms - body fat rises with age even when BMI stays fixed, and men carry more lean mass than women at the same BMI. Even so, no formula built from height, weight, age, and sex alone can replace direct measurement, such as a DEXA scan, skinfold calipers, or bioelectrical impedance, for an individual's true body composition.
Weight measured against your height 🖖
The BMI answers one simple question: is your weight in proportion to your height? It divides your mass in kilograms by your height in meters squared, so people of very different heights land on one comparable scale. The practical payoff is that every height has its own healthy weight window — this tool computes yours in kilograms, the span where BMI stays between 18.5 and 25.
Why the formula squares, not cubes, height 🖖
Weight tracks volume, and volume grows with length cubed, so pure geometry says BMI should divide by height cubed — the ponderal index this tool also shows. Quetelet kept the square because real bodies don't scale like enlarged statues: taller people are relatively more slender, so height squared fits whole populations better. That mismatch is why BMI slightly overstates tall people and understates short ones, and why pediatricians reach for the ponderal index with infants.
Example problems
- Reference adult - Reference adult: BMI is about 22.9, inside the standard healthy adult band.
- Athletic build - Athletic build: BMI enters the overweight band, but the composition estimate is adjusted separately.
- Older adult - Older adult example: the BMI formula is unchanged while the age term raises the body-fat estimate.
- High BMI - High BMI example: the calculation shows both the BMI category and substituted formula steps.