BMI Calculator
Calculate your Body Mass Index (BMI) instantly. Support for standard and new Trefethen formulas.
Math Audited
Weight (kg)70 kg
Height (cm)170 cm
Your Body Mass Index (BMI)
24.22
Normal Weight
Weight Status Spectrum (WHO Standards)
< 18.5
Under18.5 – 25.0
Normal25.0 – 30.0
Over≥ 30.0
Obese
Under18.5 – 25.0
Normal25.0 – 30.0
Over≥ 30.0
Obese
Calculated Height170 cm
Healthy Weight Range53.46 kg – 71.96 kg
South Asian Threshold: Healthcare guidelines note that individuals of South Asian descent have a higher risk of diabetes and cardiovascular complications at lower BMI thresholds. Overweight indicators for South Asian backgrounds begin at a BMI of 23.0.
Mathematical Audit LogVerified against WHO standard and CDC adult calculations. Calculation precision conforms to standard clinical floating points.Last Verified: 2026-07-10
Mathematical Formulas
Standard BMI:
BMI = Weight (kg) / Height² (m²)
Nick Trefethen "New BMI":
New BMI = 1.3 × Weight (kg) / Height².⁵ (m².⁵)
Core Assumptions
- Assumes an adult body frame (age 20 or older).
- Assumes typical muscle-to-fat proportions.
Limitations & Exclusions
- Does not distinguish between lean muscle and fat tissue. Ideal weights may vary widely for athletes.
- Cannot be used for children or teens (which require percentile curves).
About the BMI Calculator
Body Mass Index (BMI) is a surrogate marker for body fatness, calculated as a ratio of an individual's mass to their height squared. Introduced in the 19th century by Adolphe Quetelet, BMI is widely used by healthcare providers, sports scientists, and researchers to screen for weight categories (underweight, normal weight, overweight, and obese) that may lead to health complications.
Mathematical Formula & Logic
The mathematical formulas in metric and imperial systems are:
- Metric: BMI = weight (kg) / [height (m)]²
- Imperial: BMI = [weight (lbs) / [height (in)]²] × 703
Step-by-Step Example
Calculate the BMI for a person who weighs 70 kg and is 1.75 meters tall: 1. Height squared = 1.75 × 1.75 = 3.0625 2. BMI = 70 / 3.0625 ≈ 22.86 (Normal weight).
Reference Data & Values
| range | category | health risk |
|---|---|---|
| < 18.5 | Underweight | Minimal to nutritional deficiency |
| 18.5 – 24.9 | Normal Weight | Low / Healthy |
| 25.0 – 29.9 | Overweight | Increased risk of cardiovascular issues |
| >= 30.0 | Obese | High risk of type 2 diabetes, stroke, and joint pain |