Ideal Weight Calculator – Broca, Devine, Hamwi, Robinson
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About These Formulas
This tool shows several classic ideal body weight (IBW) equations. They were designed for adults and population-level use. Real people vary—body composition, health, and context matter.
Formulas
| Formula | Men | Women |
|---|---|---|
| Broca (classic) | IBW = height(cm) − 100 | |
| Broca (modified) | 0.9 × (height(cm) − 100) | 0.85 × (height(cm) − 100) |
| Devine (1974) | 50.0 kg + 2.3 × (inches over 5 ft) | 45.5 kg + 2.3 × (inches over 5 ft) |
| Hamwi (1964) | 48.0 kg + 2.7 × (inches over 5 ft) | 45.5 kg + 2.2 × (inches over 5 ft) |
| Robinson (1983) | 52.0 kg + 1.9 × (inches over 5 ft) | 49.0 kg + 1.7 × (inches over 5 ft) |
Optional “Frame size” applies a ±10% nudge to Devine/Hamwi/Robinson (and, if desired, you can toggle it to also affect Broca in code—currently it does).
Friendly Notes
- IBW formulas are estimates, not verdicts. Athletes and many others may sit outside these numbers and be perfectly healthy.
- Results are shown in both kg and lb.
- We don’t upload, store, or track your entries.
Understanding Ideal Body Weight (IBW) Formulas
Ideal Body Weight (IBW) formulas are simple, height-based equations that estimate a “typical” body weight for adults. They were created for quick, population-level planning—think drug dosing ranges or equipment sizing—rather than judging individual health. Your real-world healthy weight can sit above or below these numbers, especially if you have a higher muscle mass, unique body proportions, or specific health considerations.
Why multiple formulas?
Different researchers proposed slightly different starting points and per-inch adjustments. Broca is the oldest and most minimal (height in centimeters minus 100), sometimes “modified” with a small multiplier. Devine (1974), Hamwi (1964), and Robinson (1983) all anchor at 5 feet (152.4 cm) and add a set amount per inch above that, with male/female variants. These methods often produce a range rather than a single “correct” answer—useful as a gentle reference, not a verdict.
Frame size and body composition
Some references suggest a light frame-size adjustment (about ±10%). This acknowledges that two people of the same height can have different skeletal builds. Even so, body composition (muscle vs. fat), bone density, and distribution of weight matter far more for health than a single scale number. Athletes, strength trainees, and many others commonly fall outside IBW estimates while being perfectly healthy.
Metric and imperial: quick notes
- 1 inch = 2.54 cm, 1 kg ≈ 2.2046 lb.
- Devine/Hamwi/Robinson use “inches over 5 ft.” If you’re under 5 ft, many implementations cap the adjustment at zero rather than subtracting.
- Broca uses centimeters directly, which makes it easy to compare when you only know height in cm.
How to use these results
- Treat IBW as a starting point for goal-setting, clothing or equipment sizing, or nutrition discussions—not as a pass/fail test.
- Compare multiple formulas and look at the span and midpoint rather than fixating on a single value.
- Pair IBW with other indicators (strength, stamina, labs, how you feel day-to-day). Numbers are only one part of the picture.
Limitations & friendly reminders
- These formulas are intended for adults. They aren’t designed for children, pregnancy, or specific medical conditions.
- They do not measure fat-free mass, fat mass, or fat distribution.
- They reflect averages from specific populations and time periods. Human diversity is wider than any single equation.
This tool is for education and general planning. It does not provide medical advice. If you’re considering a weight-related change, your personal context—and a conversation with a qualified professional—matters most.
What’s next?
Curious how energy needs relate to your goals? Try our BMR Calculator and Calorie (TDEE) Calculator to estimate maintenance and target calories. All tools are private by design—calculations run in your browser.