How to Calculate BMI: Formula & Examples
How to Calculate BMI: The Complete Formula Guide
**Body Mass Index (BMI)** is one of the most widely used tools for screening weight status. Whether you are tracking your own health or studying for an exam, knowing how to calculate BMI by hand is a useful skill. This guide walks through both the metric and imperial formulas, provides worked examples, explains what the results mean, and covers special cases like reverse calculation and BMI for children.
The BMI Formula
Metric Formula (kg and metres)
BMI = Weight (kg) ÷ Height (m)²
This is the standard formula used by the World Health Organisation and most clinical settings worldwide.
Imperial Formula (pounds and inches)
BMI = [Weight (lbs) ÷ Height (inches)²] × 703
The multiplication factor of **703** converts the imperial units to match the metric scale. This formula is widely used in the United States.
Step-by-Step Calculation: Metric Example
**Scenario:** A woman weighs 68 kg and is 1.65 m tall.
Step-by-Step Calculation: Imperial Example
**Scenario:** A man weighs 185 lbs and is 5'10" (70 inches) tall.
What Your BMI Number Means
| BMI | Category | What It Suggests |
|---|---|---|
| Below 18.5 | Underweight | Possible nutritional deficiency or underlying health issue |
| 18.5 – 24.9 | Normal weight | Lowest risk for weight-related health problems |
| 25.0 – 29.9 | Overweight | Moderately increased risk for cardiovascular disease and diabetes |
| 30.0 – 34.9 | Obese (Class I) | Significantly increased health risk |
| 35.0 – 39.9 | Obese (Class II) | High risk; medical intervention often recommended |
| 40.0 + | Obese (Class III) | Severe risk; multi-disciplinary treatment typically required |
What Does a BMI of 28 Mean?
A **BMI of 28** falls in the **overweight** category. At this level, you are not yet classified as obese, but your risk for conditions such as high blood pressure, elevated cholesterol, and type 2 diabetes is meaningfully higher than someone in the normal range. For most people, modest lifestyle changes — reducing calorie intake by 300–500 calories per day and adding 150 minutes of weekly exercise — can bring BMI down to a healthier level within months.
For context, a BMI of 28 corresponds to:
How to Calculate BMI in Pounds and Inches: Detailed Walkthrough
This is the most commonly searched version of the formula, so let's break it down one more time with full detail.
**Formula:** BMI = (Weight in pounds × 703) ÷ (Height in inches × Height in inches)
**Example:** A person weighs 160 lbs and is 5'5" tall.
Both versions of the imperial formula (dividing then multiplying by 703, or multiplying first then dividing) give the same result. Use whichever feels more intuitive.
Reverse Calculation: Determining Height from BMI and Weight
Sometimes you need to work backwards — for instance, calculating what height would correspond to a specific BMI at a given weight. The rearranged formula is:
Height (m) = √(Weight (kg) ÷ BMI)
**Example:** A person weighs 80 kg and has a BMI of 25.
In imperial: **Height (inches) = √[(Weight (lbs) × 703) ÷ BMI]**
**Example:** A person weighs 176 lbs and has a BMI of 25.
BMI Formula for Children and Teens
BMI is calculated the same way for children and adolescents, but the interpretation is different. Instead of fixed category cut-offs, children's BMI is plotted on **age- and sex-specific growth charts** to determine a percentile:
This percentile approach accounts for the fact that body composition changes substantially during growth.
Common Mistakes When Calculating BMI
1. Forgetting to Square the Height
The most frequent error. If you divide weight by height (not height squared), you will get a nonsensical result.
2. Mixing Units
Using kilograms for weight but feet for height, or using metres with the imperial formula. Make sure all inputs use the same system.
3. Forgetting the 703 Multiplier
When using pounds and inches, the factor of 703 is essential. Without it, your result will be far too low.
4. Using Centimetres Instead of Metres
The metric formula requires height in **metres**. If your height is 170 cm, you must convert to 1.70 m before squaring.
Quick Reference BMI Table
| Height | BMI 20 | BMI 25 | BMI 30 | BMI 35 | BMI 40 |
|---|---|---|---|---|---|
| 5'0" | 102 lbs | 128 lbs | 153 lbs | 179 lbs | 204 lbs |
| 5'3" | 113 lbs | 141 lbs | 169 lbs | 197 lbs | 225 lbs |
| 5'6" | 124 lbs | 155 lbs | 186 lbs | 217 lbs | 247 lbs |
| 5'9" | 136 lbs | 169 lbs | 203 lbs | 237 lbs | 271 lbs |
| 6'0" | 148 lbs | 184 lbs | 221 lbs | 258 lbs | 295 lbs |