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Ideal Weight Calculator — Find Your Healthy Weight

Calculate your ideal body weight using 4 medical formulas (Robinson, Miller, Devine, Hamwi). Get your healthy weight range by height and sex.

Ideal Weight Calculator

What is the Ideal Weight Calculator?

The ideal weight calculator estimates a target body weight for your height and sex using four independently developed medical formulas: Robinson (1983), Miller (1983), Devine (1974), and Hamwi (1964). Each formula produces a single point estimate of the weight statistically associated with optimal health for a person of your stature and sex, and the calculator also shows the average across all four — a combined estimate that smooths out individual formula differences.

The concept of 'ideal weight' has a complex history in medicine. Early formulas like Hamwi (1964) and Devine (1974) were developed not as public health tools but for clinical pharmacokinetics — calculating appropriate drug doses based on lean body mass rather than total body weight. Robinson and Miller formulas appeared in the 1983 medical literature as refinements of this approach. All four were derived from actuarial and clinical data of predominantly mid-20th century Western populations, and each reflects slightly different assumptions about optimal body mass.

This calculator presents all four formulas simultaneously, allowing you to see the range of estimates. The spread between formulas — typically 4–8 kg for the same inputs — illustrates that 'ideal weight' is not a single scientifically precise number but a range, and that different clinical contexts have produced different answers. The average of the four provides a reasonable middle-ground estimate for general health reference and goal-setting purposes.

Ideal Weight Calculator Formula

All formulas convert height to inches first: height_in = height_cm / 2.54 Inches above 5 feet: x = height_in − 60 Robinson Formula (1983): Men: 52.0 kg + 1.9 kg × x Women: 49.0 kg + 1.7 kg × x Miller Formula (1983): Men: 56.2 kg + 1.41 kg × x Women: 53.1 kg + 1.36 kg × x Devine Formula (1974): Men: 50.0 kg + 2.3 kg × x Women: 45.5 kg + 2.3 kg × x Hamwi Formula (1964): Men: 48.0 kg + 2.7 kg × x Women: 45.5 kg + 2.2 kg × x Average = (Robinson + Miller + Devine + Hamwi) / 4

Ideal Weight Calculator Example

Example 1 — Male, 175 cm: Height in inches = 68.9". Inches over 5 feet = 8.9" Robinson: 52 + 1.9×8.9 = 68.9 kg Miller: 56.2 + 1.41×8.9 = 68.7 kg Devine: 50 + 2.3×8.9 = 70.5 kg Hamwi: 48 + 2.7×8.9 = 72.0 kg Average: (68.9+68.7+70.5+72.0) / 4 = 70.0 kg

Example 2 — Female, 165 cm: Height in inches = 64.96". Inches over 5 feet = 4.96" Robinson: 49 + 1.7×4.96 = 57.4 kg Miller: 53.1 + 1.36×4.96 = 59.8 kg Devine: 45.5 + 2.3×4.96 = 56.9 kg Hamwi: 45.5 + 2.2×4.96 = 56.4 kg Average: 57.6 kg

Comparison to BMI healthy range at 165 cm: BMI 18.5–24.9 → healthy weight range: 50.4–67.8 kg Average ideal weight (57.6 kg) falls in the middle of the range.

How to Use the Ideal Weight Calculator

  1. 1Enter your height in centimeters (or switch to feet/inches if you prefer imperial units). The calculator converts all height inputs to inches internally for formula compatibility. Select your biological sex — male or female — since all four formulas use sex-specific constants to account for differences in typical body composition between men and women.
  2. 2Click Calculate. The calculator applies all four formulas simultaneously and displays each formula's result individually, along with the average across all four. The individual results help you see the range of estimates; the average provides a single combined reference point.
  3. 3Use the results as a general reference, not a rigid target. If your current weight falls near the average ideal weight, you are in a generally healthy range by these historical clinical standards. If it is substantially higher, the formulas suggest a reasonable weight-loss target zone. If substantially lower, they suggest you may be underweight relative to population norms for your height and sex.

Why Ideal Weight Calculator Matters

The pursuit of a healthy body weight is one of the most clinically significant health interventions available. Excess body weight is a primary risk factor for type 2 diabetes, cardiovascular disease, hypertension, sleep apnea, osteoarthritis, and at least 13 types of cancer according to the CDC and WHO. Achieving and maintaining a weight in the healthy range for your height reduces the risk of these conditions substantially — a 5–10% reduction in body weight in overweight individuals has been shown to lower blood pressure by 5–10 mmHg, improve insulin sensitivity, reduce LDL cholesterol, and cut cardiovascular disease risk by 10–15%.

Understanding where your current weight sits relative to population norms for your height and sex — which is exactly what these formulas provide — is the starting point for any rational weight management goal. Unlike BMI, which gives a range, the ideal weight formulas provide a single target number that many people find useful for concrete goal-setting. A 175 cm man who weighs 95 kg and sees a target of 70 kg from these formulas has a clear sense of the direction and approximate magnitude of change that would bring him into the historically defined 'optimal' weight zone.

For clinicians and healthcare professionals, ideal body weight formulas remain widely used for drug dosing calculations (the original purpose of the Devine formula), ventilator settings in ICUs, nutritional assessments, and bariatric surgery criteria. Understanding these formulas provides context for medical decisions and communications between patients and providers that reference 'ideal body weight' as a clinical parameter.

Limitations & Accuracy

All four formulas were developed from research conducted primarily on mid-20th century Western adult populations, predominantly of European descent. Their applicability across different ethnic groups is not well-validated — research has shown that people of East Asian background develop metabolic risk at lower body weights and BMI values than these formulas would suggest, while some populations of African descent may have higher bone density and muscle mass that makes formula predictions too low. The formulas are not ethnically calibrated.

The most significant limitation is that all four formulas use only height and sex as inputs — they completely ignore age, bone density, body fat percentage, and muscle mass. A 65-year-old woman with naturally lower muscle mass will have the same formula output as a 25-year-old female athlete of the same height, despite very different healthy weight realities. For older adults, the ideal weight formula may actually underestimate a healthy weight since some evidence suggests BMI in the 25–27 range is associated with lower mortality in populations aged 65+.

These formulas produce a point estimate, not a range — which can create a false sense of precision. The scientifically honest conclusion from the spread between the four formulas (typically 4–8 kg) is that 'ideal weight' for any individual is a zone of approximately 5–10 kg, not a single number. Use the range between the lowest and highest formula output as a target zone rather than the average as a fixed target.

Practical Tips

  • Use the ideal weight average as a directional reference for goal-setting rather than a fixed number to hit exactly. Research on body weight and health outcomes shows that the risk curve is gradual — being within 5 kg of any of the formula estimates puts you in a broadly healthy zone. The health benefits of weight loss begin to appear at 5–10% reduction from current weight, long before reaching formula-predicted ideal weight for many people.
  • Combine the ideal weight estimate with a healthy BMI range check for your height. If your weight is already within the healthy BMI range (18.5–24.9 kg/m²) and close to the ideal weight formula average, weight management is primarily about maintenance, not loss. If you are in the healthy BMI range but significantly above the ideal weight average, body composition (more muscle, less fat) may be a more relevant goal than scale weight.
  • Do not use these formulas as targets for athletes or people with high muscle mass. A competitive athlete may be 10–20 kg above the formula estimate for their height while maintaining lower body fat and better health outcomes than someone at the 'ideal weight' with poor body composition. For athletic populations, target body fat percentage (10–20% for men, 18–28% for women, depending on sport) is a more meaningful metric than formula-based weight targets.
  • If your target weight from these formulas differs from your current weight by more than 15 kg, consult a registered dietitian or physician before setting that as a goal and attempting to reach it alone. Large weight changes require medical monitoring, proper nutritional guidance to prevent muscle loss, and assessment of any underlying medical factors affecting metabolism. Sustainable, health-guided weight management is more valuable than hitting a formula number quickly.

Frequently Asked Questions

What is the difference between the Robinson, Miller, Devine, and Hamwi formulas?
The four formulas were developed independently by different clinicians across different eras and populations, so they use different base weights and per-inch adjustments. For men: Robinson (1983) starts at 52 kg + 1.9 kg/inch over 5 feet; Miller (1983) starts at 56.2 kg + 1.41 kg/inch; Devine (1974) starts at 50 kg + 2.3 kg/inch; Hamwi (1964) starts at 48 kg + 2.7 kg/inch. For a 175 cm (68.9 inch) man, they produce estimates ranging from 65.9 to 71.9 kg — a spread of 6 kg, reflecting the genuine uncertainty in defining 'ideal weight' from population data alone.
Why does the calculator show different values for men and women at the same height?
All four formulas use sex-specific constants because men and women naturally differ in body composition at the same height. Women typically have proportionally more body fat and less lean muscle mass than men due to hormonal and reproductive biology. The female versions of each formula start with slightly lower base weights and smaller per-inch increments. At 165 cm, for example, the Devine formula gives 57.7 kg for women versus 61.7 kg for men — reflecting average differences in body composition between sexes at the same stature.
How accurate are these ideal weight formulas?
The four formulas were derived from clinical and actuarial data primarily from the mid-20th century and have known limitations. They use only height and sex as inputs, ignoring age, muscle mass, bone density, and body fat distribution — all of which significantly affect what constitutes a healthy weight for an individual. Research comparing formula outputs to DEXA scan body composition data shows substantial individual variation around the formulas' predictions. Consider the results as a general reference range rather than a precise personal target.
What was the Devine formula originally designed for?
The Devine formula was introduced in 1974 not as a health or fitness guideline but as a clinical pharmacokinetics tool — to calculate ideal body weight for drug dosing, particularly for medications where distribution in lean tissue matters (antibiotics, anesthetics, chemotherapy agents). Using a patient's actual body weight for dosing obese patients can cause dangerous overdose for these medications. The Devine formula provided a simple estimate of lean mass-appropriate dosing weight. It was never intended as a fitness target, but has since been widely adopted in health contexts.
How does ideal weight differ from the healthy BMI range?
These are different approaches to the same question. BMI-based healthy weight uses a range (18.5–24.9 kg/m²) that produces a range of acceptable weights for a given height — typically 10–15 kg wide. The ideal weight formulas each produce a single point estimate, not a range. The WHO healthy BMI approach gives: for 170 cm, the healthy range is 53.5–72.0 kg. The ideal weight formula average for the same height is approximately 65–68 kg — roughly in the middle of the BMI range. The formulas can be thought of as estimating the middle of the healthy BMI range rather than just the boundaries.
Should athletes or muscular individuals use these formulas?
No — these formulas systematically underestimate appropriate body weight for athletes and highly muscular individuals, because they were derived from general population data with typical body composition. A 180 cm male competitive weightlifter with high muscle mass and low body fat may appropriately weigh 95–100 kg, far above the Devine formula's 80.8 kg estimate for that height. For athletic populations, body fat percentage and lean mass measurement (via DEXA, hydrostatic weighing, or BodPod) are far more relevant than formula-based ideal weight targets.
Do these formulas apply for people shorter than 5 feet (152 cm)?
The formulas were designed for adults of 5 feet (152.4 cm) and above. For heights below 5 feet, the formulas extrapolate downward but were not validated in shorter populations. Most published versions of these formulas simply use the base weight constant for anyone at or below 5 feet, without applying the per-inch adjustment in reverse. For people of shorter stature, BMI-based healthy range (18.5–24.9 kg/m²) is generally a more reliable reference than these formula outputs.
How should I use this calculator alongside BMI?
Use both as complementary reference points, not as definitive targets. The ideal weight formulas give a single-number estimate of 'optimal' weight based on height and sex. The BMI healthy range gives the lower and upper bounds. Together they define a target zone: the ideal weight formula output should fall roughly in the middle of your healthy BMI range for your height. If your current weight is above the ideal weight estimate by 5–10 kg but still within the healthy BMI range, you are in a healthy weight zone and the ideal weight target represents a reasonable personal goal rather than a medical necessity.

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Trusted Sources & Methodology

World Health Organization (WHO)Global health standards and BMI classifications
Centers for Disease Control (CDC)US health guidelines and population data
National Institutes of Health (NIH)Medical research and clinical guidelines
Mayo ClinicTrusted clinical information and health advice

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