What is BMI Calculator?
How It Works
You choose metric (kilograms and centimeters) or imperial (pounds and feet plus inches). For metric input, we convert height from centimeters to meters by dividing by 100, then compute BMI as weight divided by height squared. For imperial input, we combine feet and inches into total inches, then apply the standard conversion factor 703 multiplied by weight in pounds divided by height in inches squared. The result is shown to one decimal place and mapped to WHO adult categories for quick interpretation. A short disclaimer reminds you that BMI is not a diagnosis.
Formula
Metric (kg, m): BMI = weight_kg / (height_m)² where height_m = height_cm / 100 Imperial (lb, in): BMI = 703 × weight_lb / (height_in)² where height_in = feet×12 + inches Example (metric): 70 kg, 175 cm → height_m = 1.75 → BMI = 70 / (1.75)² ≈ 22.9 Example (imperial): 154 lb, 5 ft 9 in → height_in = 69 → BMI = 703×154 / (69)² ≈ 22.7
Formula Explained
The metric form is the definition of BMI in SI units: kilograms per square meter. The imperial form exists because many people in the United States measure weight in pounds and height in feet and inches. The factor 703 is exactly (0.45359237 kg per lb) / (0.0254 m per in)² after simplifying, so that plugging pounds and inches into the formula yields the same BMI as converting to metric first. Squaring height in the denominator reflects the fact that body mass scales with volume (three dimensions) while the index normalizes for height in two dimensions in this simplified model—hence dividing by height squared.
Example
Person A: 80 kg, 180 cm height_m = 1.80 BMI = 80 / (1.80)² = 80 / 3.24 ≈ 24.7 → normal weight range Person B: 200 lb, 5 ft 8 in height_in = 5×12 + 8 = 68 BMI = 703 × 200 / (68)² = 140600 / 4624 ≈ 30.4 → obesity class I Always verify inputs; small measurement errors in height change BMI noticeably because height is squared.
Tips & Best Practices
- ✓Measure height without shoes and weight with minimal clothing for more consistent results.
- ✓If you are very muscular, BMI may be high even with low body fat—use clinical context.
- ✓For children and teens, BMI percentiles by age and sex are required—this tool uses adult cutoffs only.
- ✓Use the same unit system you are comfortable with; the math is equivalent when converted correctly.
- ✓Discuss sustained BMI changes or health goals with a qualified professional.
Common Use Cases
- •Quick self-check of weight-for-height before a general checkup discussion
- •Homework or coursework comparing BMI calculations in metric and imperial units
- •Wellness programs that use BMI as one of several screening metrics
- •Understanding how published WHO or CDC category boundaries map to your numbers
- •Reproducing textbook examples with transparent formulas