Health & Fitness
Basic

Body Mass Index (BMI)

Weight-to-height ratio used to classify body weight.

Formula

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

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Variables

mMass (kg)
hHeight (m)

Example

70 kg, 1.75 m ⇒ 22.9

How it works

Body Mass Index compares a person's mass to their height squared, so it gives a simple way to judge weight in relation to body size rather than using mass alone. Squaring the height helps reduce the effect of taller people naturally having larger bodies, making the ratio easier to compare across different heights. It is a screening tool, not a direct measure of body fat, so it works best as a quick health indicator rather than a diagnosis.

When to use it

Use BMI when you need a fast, standardised estimate of whether a person's mass is low, normal, or high for their height. It is commonly used in health checkups, fitness assessments, and basic epidemiology.

Worked example, step by step

Given: mass = 60 kg, height = 1.60 m Step 1: Square the height: 1.60^2 = 2.56 Step 2: Divide mass by height squared: BMI = 60 / 2.56 Step 3: Calculate: BMI = 23.4375 Step 4: Round appropriately: BMI ≈ 23.4

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 fitness

Did You Know?

BMI was created for population statistics by Adolphe Quetelet, which is why it misjudges muscular athletes as overweight.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026