Scenario

Ideal Weight by Height — Find Your Target Weight

Ideal weight by height for men and women. See the Devine formula, a full height-to-weight reference table, and the BMI 18.5 to 24.9 normal range. Free guide, no signup.

Interactive Calculator

Your Details

cm

Your Ideal Weight Estimates

Most cited in medical literature

Devine (1974)

Primary

Primary — Pharmaceutical Dose Standard

70.5 kg
Healthy ±10% range
63.5 – 77.6 kg
Standard before Devine

Hamwi (1964)

Classic

Older Reference Formula

72 kg
Healthy ±10% range
64.8 – 79.2 kg
Higher lean-mass baseline

Robinson (1983)

Athletes

Developed for Athletes

68.9 kg
Healthy ±10% range
62 – 75.8 kg

Origin of the Devine Formula — Important Context

Published in 1974 by Dr. Benjamin Devine in a brief letter to the journal Intelligence and Pharmacy, the Devine formula was never designed as a general “ideal body weight for appearance or wellness” equation. Its original and sole purpose was to estimate lean body compartment size for calculating initial dosing levels of narrow-window pharmaceuticals that distribute primarily into lean tissue. Despite this narrow origin, Devine rapidly became the most widely cited IBW formula in medical and pharmaceutical practice worldwide due to its simplicity and good correlation with measured values. We highlight it in orange as the primary formula for cross-reference, but encourage interpreting it as a flexible reference band rather than a prescriptive weight target.

How The Three Formulas Compare at Your Height

FormulaYearOriginal UsePer Inch Over 5 ftYour Estimate
Devine1974Pharmaceutical dosing+2.3 kg70.5 kg
Hamwi1964Reference formula+2.7 kg72 kg
Robinson1983Athletic pulmonary+1.9 kg68.9 kg
The formula

The formula

What an Ideal Weight Formula Tells You

An ideal weight formula is a simple height-based equation that estimates a typical body weight associated with general wellness in large population samples. The word "ideal" is misleading — these formulas were never intended to give a single perfect number for each individual. They are historical reference points developed by researchers in the mid-to-late 20th century for specific evidence-based purposes. Think of them as three rough estimates from three different eras, not as personal targets written in stone.

Our calculator displays three formulas side by side: Devine (1974), Hamwi (1964), and Robinson (1983). Each was derived on a different population using different statistical approaches, which is why they disagree by several kilograms for the same height. Presenting all three together lets you see the plausible range of reference weights rather than pretending any one formula is uniquely correct. We also show a ±10 percent band around each estimate because human healthy weight naturally spans a meaningful range even at identical height and sex.

The Three Formulas

All three formulas use the same underlying structure: a baseline weight at 5 feet (152.4 cm) plus an additional weight per inch of height above 5 feet. The constants vary. For heights below 5 feet, the math works out to subtractions rather than additions, and in practice the formulas become increasingly unreliable the further below 5 feet you go.

FormulaMale Equation (per inch over 5 ft)Female Equation (per inch over 5 ft)Original Year
Devine50.0 kg + 2.3 kg per inch45.5 kg + 2.3 kg per inch1974
Hamwi48.0 kg + 2.7 kg per inch45.5 kg + 2.2 kg per inch1964
Robinson51.7 kg + 1.86 kg per inch48.7 kg + 1.71 kg per inch1983

Formula Source

This calculator uses the **Devine formula (1974), Hamwi formula (1964), and Robinson formula (1983) for ideal body weight** from **Devine BJ, Hamwi GJ, and Robinson JD et al.** published in **1974/1964/1983**.

Reference URL: https://doi.org/10.1093/ajhp/40.7.1016

Last Verified: 2026-07-30

Devine Formula — Primary. Where It Came From and Why It Matters

The Devine formula is the most commonly referenced ideal weight equation in modern medical literature and evidence-based practice, but it was never actually designed to tell anyone what they should weigh. Dr. B. J. Devine published his famous constants in 1974 for a very specific purpose: estimating lean body weight in adult men and women so that clinicians could calculate appropriate compounds proper amounts, most notably for the anticoagulant heparin and certain chemotherapeutic agents whose safe dosing window depends on the volume of distribution of lean tissue rather than total body weight.

Devine himself did not call the result an "ideal weight." He derived his constants from a small set of earlier studies that had measured lean body mass via isotope dilution in a limited sample of adults. Over time, clinicians and textbooks began to use Devine's lean body weight estimate as a convenient shorthand for a "reasonable weight" in conversation with adults, and from there it spread into online calculators and popular wellness writing. Today the Devine formula is the default primary estimate in this calculator precisely because it is the most-cited historical reference in peer-reviewed literature, not because anyone in 2025 believes it is a definitive ideal target.

The Devine formula has no frame-size adjustment. This is an important limitation. Two adults with identical height and sex but very different skeletal frame sizes will receive the same Devine estimate even though the larger-framed person can healthily carry several kilograms more than the smaller-framed person. Our UI presents a frame-size selector so you can mentally contextualize the results: if you know you have a broad, large build, the upper end of the ±10 percent band is a more appropriate reference than the midpoint. For small-framed individuals, the lower end of the band is typically a better personal reference.

Hamwi and Robinson — Historical Context

The Hamwi formula was developed in 1964 and was widely used in evidence-based nutrition through the 1970s and 1980s. It produces slightly higher estimates for men and slightly lower estimates for shorter women compared to Devine. It was the standard "ideal weight" taught in many nutrition schools for a generation and still appears in some older dietary software and insurance tables. The Hamwi formula is also the basis for the Broca index variants you still occasionally see in older European textbooks.

The Robinson formula was published in 1983 specifically for athletic populations after researchers observed that Devine and Hamwi estimates were often unrealistically heavy for shorter athletes and unrealistically light for taller athletes. Robinson used a lower per-inch coefficient for both sexes and a heavier baseline at 5 feet. For people 5 ft 10 and taller, Robinson typically gives the lightest of the three estimates, which is why it is sometimes preferred in strength and conditioning contexts where high lean mass at a given height is common.

Worked Example

For a 175 cm (5 ft 9 in) male. 5 ft 9 in is 9 inches over 5 ft. Devine: 50.0 + 2.3 × 9 = 70.7 kg. Hamwi: 48.0 + 2.7 × 9 = 72.3 kg. Robinson: 51.7 + 1.86 × 9 ≈ 68.4 kg. The three formulas span a range of roughly 4 kg for this example, which is entirely typical and illustrates why no single formula should be addressed as a definitive answer. Taking each result and applying a ±10 percent healthful band gives a wide but realistic reference window.

FAQ-Style Explanations

Why doesn't the calculator adjust Devine for frame size? The original Devine formula has no frame-size term. Adding one would make it no longer the Devine formula. Some textbooks and calculators do add ±10 percent adjustments for small, medium, and large frame, but these adjustments were not part of the original publication and are not standardized across sources. To keep the formulas historically faithful, we display the unmodified Devine number as the primary result and present the ±10 percent band beneath it as a general healthy range that naturally accounts for frame.

If all three formulas disagree, which one should I use? Start with the Devine estimate as the most common medical literature reference. Then compare your current weight, how you feel, how your clothes fit, and your energy levels. If you feel energetic, recover well, have regular menstrual cycles if applicable, sleep well, and have normal blood markers at a weight outside these formulas, that weight is fine for you. These are population references, not verdicts.

How does frame size affect healthy weight? Skeletal frame size — measured roughly by wrist circumference, elbow breadth, or shoulder width relative to height — creates a range of healthy weights that can differ by 8 to 12 kg between a small-framed and large-framed person of the same height and sex. Frame size has a genetic component and does not change in adulthood. People who are large-boned are not "overweight" simply because they exceed a formula midpoint. Use the ±10 percent band and your own common sense.

Known Limitations

  • These formulas were never designed as standalone wellness tools. Devine was for compounds dosing, Hamwi was for older evidence-based practice, Robinson was for athletic populations.
  • None of them account for body composition. Two people with identical height and sex can have the same weight but very different ratios of muscle to fat with very different metabolic health profiles.
  • None of them account for age. Body composition changes with age, and a weight that is appropriate at 30 may or may not be appropriate at 70.
  • Reliability degrades at heights far from the 5 ft baseline. The formulas become increasingly speculative for people shorter than roughly 150 cm or taller than roughly 195 cm.
  • No prospective study has ever shown that matching one of these formula midpoints produces better long-term health outcomes than simply staying within a broad BMI Normal band and maintaining consistent physical activity and good nutrition.
  • Not intended for use by children, adolescents, or pregnant or lactating individuals.
Scenario guide

Scenario guide

How Ideal Weight Relates to Height

Ideal weight is anchored to height because taller people carry more bone, muscle, and organ mass, so they reasonably weigh more. The classic ideal weight formulas express this as a simple linear rule: a baseline weight at 5 feet (152.4 cm) plus a fixed increment for each additional inch. The Devine formula — the most widely used — gives men 50 kg plus 2.3 kg per inch over 5 feet, and women 45.5 kg plus 2.3 kg per inch over 5 feet. This produces a clear height-to-weight line that you can read off a table for any adult height. Because the relationship is linear, every extra inch of height adds the same amount of ideal weight, which makes the table easy to use and to remember.

The Devine Formula in Practice

Men: 50 kg + 2.3 kg per inch over 5 feet (152.4 cm)
Women: 45.5 kg + 2.3 kg per inch over 5 feet (152.4 cm)

To use the formula, first find how many inches you stand over 5 feet. A 178 cm (5'10") man is 10 inches over 5 feet, so Devine gives 50 + 2.3 × 10 = 73 kg. A 165 cm (5'5") woman is 5 inches over 5 feet, so Devine gives 45.5 + 2.3 × 5 = 57 kg. Apply the ±10 percent healthy reference range to widen the target zone — this accounts for natural variation in frame size, muscle mass, and body composition. For most adults, the formula estimate plus or minus 10 percent gives a reasonable long-term weight target zone.

Height to Weight Reference Table (Men)

Height (cm)Height (ft/in)Devine (kg)±10% Range (kg)
1605'3"56.951 to 63
1655'5"61.555 to 68
1705'7"66.159 to 73
1755'9"70.764 to 78
1805'11"75.368 to 83
1856'1"79.972 to 88
1906'3"84.576 to 93

Height to Weight Reference Table (Women)

Height (cm)Height (ft/in)Devine (kg)±10% Range (kg)
1504'11"45.541 to 50
1555'1"47.843 to 53
1605'3"50.145 to 55
1655'5"57.051 to 63
1705'7"59.353 to 65
1755'9"61.655 to 68
1805'11"63.958 to 70

Cross-Check With BMI 18.5 to 24.9

The BMI Normal band (18.5 to 24.9) gives a second, independent weight range for any height. For a 175 cm person, BMI 18.5 to 24.9 corresponds to roughly 56.6 to 76.2 kg. The Devine estimate of 70.7 kg (men) sits inside this band, as does the ±10 percent range of 64 to 78 kg. The two methods usually agree closely for medium-frame adults with average muscle mass. Where they disagree is informative: if your Devine estimate sits well outside the BMI Normal band, double-check your height input; if your actual weight sits outside both, that signals a meaningful gap to address through training and nutrition. Use both the formula and the BMI band together to triangulate a realistic target zone.

Practical Tips

  • Use the sex-specific table. Male and female baselines differ by 4 to 5 kg at 5 feet.
  • Apply the ±10 percent healthy reference range to widen the target zone and account for natural variation in frame and muscle mass.
  • Cross-check the formula estimate against the BMI 18.5 to 24.9 band. The two usually agree for medium-frame adults.
  • If you are resistance-trained, expect your sustainable weight to sit at the upper end of the range or slightly above due to muscle mass.
  • Re-evaluate the target annually or whenever your training focus shifts. Ideal weight is a long-term reference, not a daily target.
FAQ

Frequently Asked Questions

How do I calculate ideal weight by height?
The simplest method is the Devine formula: men use 50 kg plus 2.3 kg for each inch over 5 feet (152.4 cm), and women use 45.5 kg plus 2.3 kg for each inch over 5 feet. First find how many inches you stand over 5 feet — a 178 cm (5'10") man is 10 inches over, giving 50 + 2.3 × 10 = 73 kg. Then apply the ±10 percent healthy reference range to widen the target zone, which accounts for natural variation in frame size, muscle mass, and body composition. Cross-check the result against the BMI Normal band (18.5 to 24.9) for the same height — the two methods usually agree closely for medium-frame adults with average muscle mass.
What is the ideal weight for a 175 cm (5'9") person?
For a 175 cm (5'9") man, the Devine formula gives 50 + 2.3 × 9 = 70.7 kg, with a ±10 percent healthy reference range of roughly 64 to 78 kg. For a 175 cm (5'9") woman, Devine gives 45.5 + 2.3 × 9 = 66.2 kg, with a range of roughly 60 to 73 kg. The BMI Normal band (18.5 to 24.9) for 175 cm corresponds to roughly 56.6 to 76.2 kg, which overlaps the formula range. A medium-frame adult with average muscle development often sits in the middle of the formula range, while a resistance-trained person of the same height may sit at the upper end or slightly above due to muscle mass. Use the range as a flexible long-term reference zone rather than a single target.
Why does ideal weight increase with height?
Ideal weight increases with height because taller people carry more bone, muscle, organ mass, and connective tissue, all of which add to scale weight independent of fat. The classic ideal weight formulas express this as a linear rule: a baseline weight at 5 feet plus a fixed increment (about 2.3 kg per inch in the Devine formula) for each additional inch. Skeletal frame scales roughly with height, and so does the muscle mass needed to move a larger frame, so a taller person reasonably weighs more. The relationship is close to linear across the common adult height range, which is why a single per-inch increment works well. The ±10 percent healthy reference range accounts for the fact that people of the same height still vary in frame and muscle.
How does the Devine formula compare to the BMI range?
The Devine formula and the BMI Normal band (18.5 to 24.9) usually agree closely for medium-frame adults with average muscle mass. For a 175 cm man, Devine gives 70.7 kg, and BMI 18.5 to 24.9 corresponds to roughly 56.6 to 76.2 kg — the Devine estimate sits inside the BMI band. The two methods measure slightly different things: Devine gives a single point estimate based on height and sex, while BMI gives a range based on height and weight relative to population averages. Where they disagree is informative. If your Devine estimate sits well outside the BMI band, double-check your height input. If your actual weight sits outside both, that signals a meaningful gap to address. Use both together to triangulate a realistic target zone.
Is the ideal weight by height the same for men and women?
No. The male and female baselines differ by about 4 to 5 kg at 5 feet (50 kg for men versus 45.5 kg for women in the Devine formula), and the per-inch increment is the same 2.3 kg for both. The lower female baseline reflects that on average women have a smaller skeletal frame and less muscle mass per unit of height than men. Women do carry a higher proportion of essential fat (10 to 13 percent versus 2 to 5 percent for men), but this is offset by lower skeletal muscle mass on average. At the same height, a woman's formula estimate typically sits 4 to 5 kg below a man's. Always use the sex-specific formula and table rather than comparing across sexes.
What weight range is healthy for my height?
A healthy weight range for your height comes from two complementary sources. The BMI Normal band (18.5 to 24.9) gives a population-level range — for 175 cm, that is roughly 56.6 to 76.2 kg. The Devine formula plus the ±10 percent healthy reference range gives a formula-based range — for a 175 cm man, that is roughly 64 to 78 kg. The overlap of the two is a good long-term target zone. Natural variation in frame size, muscle mass, training history, and age means two healthy people of the same height can reasonably sit 8 to 12 kg apart. Use the range as a flexible target zone, and pair it with body fat percentage and waist circumference for a fuller picture of body composition.
Keep going