Everyday Math
Basic

Body Mass Index

Weight-to-height ratio used as a health screening tool.

Formula

BMI=mh2BMI = \frac{m}{h^2}

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Variables

mMass (kg)
hHeight (m)

Example

70 kg ÷ 1.75² = 22.9

How it works

Body Mass Index compares a person’s mass with their height squared, so taller people are not judged as having “too much” mass just because they are bigger overall. Squaring height helps the ratio scale more fairly across different body sizes, giving a simple number that can be used as a quick screening measure rather than a full health diagnosis. It is useful for spotting possible underweight, healthy-weight, overweight, or obesity ranges, but it does not measure body fat directly.

When to use it

Use BMI when you need a fast, basic check of whether a person’s weight is in a range that may need follow-up. It is commonly used in general health checks, clinics, and fitness or public-health screening.

Worked example, step by step

Mass = 62 kg Height = 1.60 m BMI = m / h² BMI = 62 / (1.60 × 1.60) BMI = 62 / 2.56 BMI = 24.2 Final answer: BMI ≈ 24.2

Common mistakes to avoid

  • Using height in centimetres instead of metres
  • Forgetting to square the height before dividing
  • Treating BMI as a direct measure of body fat or overall health

Did You Know?

BMI does not distinguish muscle from fat.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026