What the ideal weight calculator measures
An ideal weight calculator gives you a specific number of kilograms — not just a wide BMI band, but a narrower target range — worked out from five independent, historical formulas: Devine (1974), Robinson (1983), Miller (1983), Hamwi (1964) and Broca-Brugsch (1871). Each one was built at a different time for a different purpose, so they don’t quite agree for the same height. Rather than pretend one of them is “the” correct number, this calculator shows all five and highlights the range.
That makes it a different tool from our BMI calculator, which gives a wide healthy-weight band (18.5–24.9 BMI per the WHO) based on height alone. Here you get a narrower range built from formulas that factor in sex and, optionally, body frame size. If what you actually want is body composition — how much of your weight is fat versus muscle — see the body fat calculator instead. None of the five formulas here measure muscle or fat directly; they only use sex and height.
Once you enter your sex and height, you get:
- an ideal weight range from the four main formulas (Devine, Robinson, Miller, Hamwi),
- the healthy BMI weight range for your height, for comparison,
- each of the five formulas broken out individually, with one you can highlight (including historical Broca),
- optionally, how your current weight compares against both ranges and against other people who’ve used the calculator.
How to use the ideal weight calculator
- Choose your sex. All five formulas use different constants for men and women — this field is required.
- Enter your height (standing). Use the cm/in switch on the field to match your preferred units.
- Optional: enter your current weight. The calculator compares it against the healthy BMI range and marks it on the result gauge.
- Advanced — body frame size. Small, medium or large. This is a subjective estimate, not a wrist measurement — it only adjusts the Hamwi formula, by ±10%.
- Advanced — formula to highlight. Devine is the default, the most commonly cited of the five, but you can switch to Robinson, Miller, Hamwi, or the historical Broca-Brugsch.
How the ideal weight formulas work
Four of the five formulas — Devine, Robinson, Miller and Hamwi — share the same structure: a baseline at 152.4 cm (exactly 60 inches, or 5 feet), plus a fixed amount for every inch above that. The fifth, Broca-Brugsch, works differently, calculating straight from height in centimetres.
| Formula | Year | Men (kg) | Women (kg) |
|---|---|---|---|
| Devine | 1974 | 50 + 2.3 × (inches − 60) | 45.5 + 2.3 × (inches − 60) |
| Robinson | 1983 | 52 + 1.9 × (inches − 60) | 49 + 1.7 × (inches − 60) |
| Miller | 1983 | 56.2 + 1.41 × (inches − 60) | 53.1 + 1.36 × (inches − 60) |
| Hamwi | 1964 | (106 + 6 × (inches − 60)) lb × frame factor | (100 + 5 × (inches − 60)) lb × frame factor |
| Broca-Brugsch | 1871 | (height cm − 100) × 0.9 | (height cm − 100) × 0.85 |
“Inches” is your height converted from centimetres (height ÷ 2.54). The Hamwi result is worked out in pounds first, then converted to kilograms (1 lb = 0.45359237 kg), and the frame-size multiplier (0.9 for small, 1.0 for medium, 1.1 for large) adjusts only that one formula — none of the others here account for body frame.
The Devine formula was originally published in 1974 for drug dosing in patients whose body weight fell outside typical ranges — not as a tool for finding a “dream weight.” Robinson and Miller are independent 1983 refinements of the same idea, built on broader datasets. Hamwi, from 1964, comes out of dietetic practice. Broca-Brugsch is the oldest of the five, a French formula dating to 1871 — which is why it’s deliberately kept out of the headline range and shown separately, alongside the other four, as a historical reference point.
The ideal weight range you see as the main result is simply the lowest and highest value among Devine, Robinson, Miller and Hamwi — Broca is excluded from it.
Step-by-step example
A man, 170 cm tall, medium frame.
- Height in inches: 170 ÷ 2.54 = 66.93. Amount over 60 inches: 66.93 − 60 = 6.93.
- Devine: 50 + 2.3 × 6.93 = 65.9 kg.
- Robinson: 52 + 1.9 × 6.93 = 65.2 kg.
- Miller: 56.2 + 1.41 × 6.93 = 66.0 kg.
- Hamwi: (106 + 6 × 6.93) = 147.58 lb × 0.45359237 = 66.9 kg.
- Broca-Brugsch (outside the headline range): (170 − 100) × 0.9 = 63.0 kg.
The ideal weight range for this height runs from 65.2 kg to 66.9 kg (Robinson to Hamwi) — the formulas differ by only about 2.7% here, so the result is tight. For comparison, the healthy BMI weight range at 170 cm runs from 53.5 kg to 72.0 kg — noticeably wider, because BMI doesn’t distinguish between sexes or body frames.
Ideal weight range by height, sex and frame size
A few worked examples — the exact figures the calculator returns:
| Height | Sex | Frame size | Ideal weight range |
|---|---|---|---|
| 140 cm | male | medium | 34.8 – 49.3 kg |
| 152.4 cm | male | medium | 48.1 – 56.2 kg |
| 170 cm | male | medium | 65.2 – 66.9 kg |
| 200 cm | male | medium | 82.6 – 99.1 kg |
| 160 cm | female | medium | 52.1 – 57.2 kg |
| 165 cm | female | small | 50.9 – 59.8 kg |
| 165 cm | female | large | 56.9 – 62.3 kg |
The last two rows show how the frame-size adjustment works: at the same height (165 cm) and sex, moving from a small to a large frame shifts the lower bound of the range from 50.9 kg to 56.9 kg — because only the Hamwi result changes, and it’s the one setting that boundary.
At the extremes — below 152.4 cm and at 200 cm and above — the formulas spread further apart (around a 34.5% gap at 140 cm). The calculator flags this with a message: treat a wide range like that as a rough estimate, not a precise target.
Ideal weight vs the healthy BMI range
“Ideal weight” and “healthy BMI range” are two different things that are easy to mix up:
- Healthy BMI range is the 18.5–24.9 BMI band, converted into kilograms for your height. It depends only on height — not on sex or frame size.
- Ideal weight (this calculator) is a narrower, more specific estimate from five named historical formulas that account for sex, and optionally frame size.
The healthy BMI range is usually wider than the ideal weight range, because BMI is deliberately built to cover the whole adult population, while the ideal weight formulas try to narrow it down for a specific sex.
| Height | Healthy BMI range (18.5–24.9) |
|---|---|
| 152.4 cm | 43.0 – 57.8 kg |
| 160 cm | 47.4 – 63.7 kg |
| 170 cm | 53.5 – 72.0 kg |
| 180 cm | 59.9 – 80.7 kg |
Example: at 180 cm and 75 kg, the calculator shows you’re within the healthy BMI range (59.9–80.7 kg) — and at the same time, you can see how that same weight compares to the ideal weight range calculated for your sex. If all you need is the general WHO weight category, the BMI calculator is the simpler tool.