{
  "id": "ideal-weight",
  "version": "b7ec40c18674",
  "status": "published",
  "name": "Ideal Weight Calculator",
  "question": "What is my ideal body weight range?",
  "summary": "Estimates ideal body weight for a height and sex with the Devine, Robinson, Miller, and Hamwi equations, and the healthy weight range for BMI 18.5 to 25.",
  "category": "health",
  "subcategory": "body",
  "url": "https://www.acalculator.org/health/ideal-weight-calculator",
  "markdown": "https://www.acalculator.org/health/ideal-weight-calculator.md",
  "kind": "formulas",
  "method": "Ideal weight = base + slope × (height in inches − 60): Devine 50 + 2.3 (men), 45.5 + 2.3 (women) kg; Robinson 52 + 1.9, 49 + 1.7 kg; Miller 56.2 + 1.41, 53.1 + 1.36 kg; Hamwi 106 + 6, 100 + 5 lb. Healthy range = 18.5 × height² to 25 × height² (kg, m).",
  "assumptions": [
    "The four equations were made for adults 5 ft (60 in) and taller. Below 5 ft, the same straight lines are continued down to 4 ft.",
    "Hamwi’s pounds are converted with 1 lb = 0.45359237 kg exactly; 1 in = 0.0254 m exactly.",
    "The healthy weight range is the CDC adult BMI range, 18.5 up to (just under) 25.",
    "Ideal body weight equations were made for drug dosing and height-weight tables. They do not account for muscle, frame, or age, and this is not medical advice."
  ],
  "inputs": {
    "$schema": "https://json-schema.org/draft/2020-12/schema",
    "type": "object",
    "properties": {
      "height": {
        "title": "Height",
        "description": "Your height without shoes.",
        "type": [
          "number",
          "string"
        ],
        "x-quantity": "length",
        "minimum": 1.2191999999999998,
        "maximum": 2.5
      },
      "devine": {
        "title": "Devine formula",
        "description": "Ideal body weight by the Devine formula: 50 kg + 2.3 kg per inch over 5 ft (men); 45.5 kg + 2.3 kg per inch (women).",
        "type": [
          "number",
          "string"
        ],
        "x-quantity": "mass",
        "exclusiveMinimum": 0,
        "maximum": 700
      },
      "robinson": {
        "title": "Robinson formula",
        "description": "Ideal body weight by the Robinson formula: 52 kg + 1.9 kg per inch over 5 ft (men); 49 kg + 1.7 kg per inch (women).",
        "type": [
          "number",
          "string"
        ],
        "x-quantity": "mass",
        "exclusiveMinimum": 0,
        "maximum": 700
      },
      "miller": {
        "title": "Miller formula",
        "description": "Ideal body weight by the Miller formula: 56.2 kg + 1.41 kg per inch over 5 ft (men); 53.1 kg + 1.36 kg per inch (women).",
        "type": [
          "number",
          "string"
        ],
        "x-quantity": "mass",
        "exclusiveMinimum": 0,
        "maximum": 700
      },
      "hamwi": {
        "title": "Hamwi formula",
        "description": "Ideal body weight by the Hamwi formula: 106 lb + 6 lb per inch over 5 ft (men); 100 lb + 5 lb per inch (women).",
        "type": [
          "number",
          "string"
        ],
        "x-quantity": "mass",
        "exclusiveMinimum": 0,
        "maximum": 700
      },
      "bmiLow": {
        "title": "Healthy weight from",
        "description": "The lowest weight in the healthy BMI range for this height: 18.5 × height².",
        "type": [
          "number",
          "string"
        ],
        "x-quantity": "mass",
        "exclusiveMinimum": 0,
        "maximum": 700
      },
      "bmiHigh": {
        "title": "Healthy weight up to",
        "description": "The weight at which BMI reaches 25 for this height, 25 × height²; the healthy range ends just below it.",
        "type": [
          "number",
          "string"
        ],
        "x-quantity": "mass",
        "exclusiveMinimum": 0,
        "maximum": 700
      },
      "sex": {
        "title": "Sex",
        "description": "Sex at birth. Each formula has one line for men and one for women.",
        "type": "string",
        "enum": [
          "male",
          "female"
        ]
      }
    }
  },
  "solve": {
    "fillAny": 1,
    "variables": [
      "height",
      "devine",
      "robinson",
      "miller",
      "hamwi",
      "bmiLow",
      "bmiHigh"
    ],
    "inputsOnly": []
  },
  "outputs": {
    "height": {
      "label": "Height",
      "description": "Your height without shoes.",
      "format": "quantity"
    },
    "devine": {
      "label": "Devine formula",
      "description": "Ideal body weight by the Devine formula: 50 kg + 2.3 kg per inch over 5 ft (men); 45.5 kg + 2.3 kg per inch (women).",
      "format": "quantity",
      "unit": "lb"
    },
    "robinson": {
      "label": "Robinson formula",
      "description": "Ideal body weight by the Robinson formula: 52 kg + 1.9 kg per inch over 5 ft (men); 49 kg + 1.7 kg per inch (women).",
      "format": "quantity",
      "unit": "lb"
    },
    "miller": {
      "label": "Miller formula",
      "description": "Ideal body weight by the Miller formula: 56.2 kg + 1.41 kg per inch over 5 ft (men); 53.1 kg + 1.36 kg per inch (women).",
      "format": "quantity",
      "unit": "lb"
    },
    "hamwi": {
      "label": "Hamwi formula",
      "description": "Ideal body weight by the Hamwi formula: 106 lb + 6 lb per inch over 5 ft (men); 100 lb + 5 lb per inch (women).",
      "format": "quantity",
      "unit": "lb"
    },
    "healthyMin": {
      "label": "Healthy weight from",
      "description": "The lowest weight in the healthy BMI range for this height: 18.5 × height².",
      "format": "quantity",
      "unit": "lb"
    },
    "healthyMax": {
      "label": "Healthy weight up to",
      "description": "The weight at which BMI reaches 25 for this height, 25 × height²; the healthy range ends just below it.",
      "format": "quantity",
      "unit": "lb"
    }
  },
  "defaultAnswer": {
    "inputs": {
      "sex": "male",
      "height": 1.778
    },
    "outputs": {
      "devine": 73,
      "robinson": 71,
      "miller": 70.3,
      "hamwi": 75.29633342,
      "healthyMin": 58.483754000000005,
      "healthyMax": 79.0321
    },
    "text": "The Devine formula gives an ideal weight of 160.9 lb; the healthy BMI range for this height is 128.9 lb to 174.2 lb."
  },
  "examples": [
    {
      "given": {
        "sex": "male",
        "height": 1.778
      },
      "expect": {
        "devine": 73,
        "robinson": 71,
        "miller": 70.3,
        "hamwi": 75.29633342,
        "bmiLow": 58.483754000000005,
        "bmiHigh": 79.0321
      },
      "source": "Peterson and others (2016), Am J Clin Nutr, Table 3 equations; hand calculation in content.mdx: 50 + 2.3 × 10 = 73 kg; 52 + 1.9 × 10 = 71 kg; 56.2 + 1.41 × 10 = 70.3 kg; 106 + 6 × 10 = 166 lb = 75.30 kg; 18.5 and 25 × 1.778² (CDC BMI range)"
    },
    {
      "given": {
        "sex": "female",
        "height": 1.6256
      },
      "expect": {
        "devine": 54.7,
        "robinson": 55.8,
        "miller": 58.54,
        "hamwi": 54.4310844
      },
      "source": "Peterson and others (2016), Table 3; hand calculation in content.mdx: 45.5 + 2.3 × 4 = 54.7 kg; 49 + 1.7 × 4 = 55.8 kg; 53.1 + 1.36 × 4 = 58.54 kg; 100 + 5 × 4 = 120 lb = 54.43 kg"
    },
    {
      "given": {
        "sex": "male",
        "devine": 73
      },
      "expect": {
        "height": 1.778,
        "robinson": 71
      },
      "source": "hand calculation in content.mdx: the Devine line solved for height, 60 + (73 − 50) ÷ 2.3 = 70 in = 1.778 m"
    },
    {
      "given": {
        "sex": "female",
        "hamwi": 58.9670081
      },
      "expect": {
        "height": 1.6764,
        "devine": 59.3
      },
      "source": "hand calculation in content.mdx: the Hamwi line for women solved for height, 60 + (130 − 100) ÷ 5 = 66 in = 1.6764 m; Devine at 66 in: 45.5 + 2.3 × 6 = 59.3 kg"
    }
  ],
  "sources": [
    "Peterson CM, Thomas DM, Blackburn GL, Heymsfield SB. Universal equation for estimating ideal body weight and body weight at any BMI. American Journal of Clinical Nutrition 2016;103:1197–1203, Table 3. doi:10.3945/ajcn.115.121178",
    "Pai MP, Paloucek FP. The origin of the \"ideal\" body weight equations. Annals of Pharmacotherapy 2000;34:1066–1069. doi:10.1345/aph.19381",
    "Devine BJ. Gentamicin therapy. Drug Intelligence and Clinical Pharmacy 1974;8:650–655.",
    "Robinson JD, Lupkiewicz SM, Palenik L, Lopez LM, Ariet M. Determination of ideal body weight for drug dosage calculations. American Journal of Hospital Pharmacy 1983;40:1016–1019.",
    "Miller DR, Carlson JD, Lloyd BJ, Day BJ. Determining ideal body weight (and mass). American Journal of Hospital Pharmacy 1983;40:1622–1625.",
    "Hamwi GJ. Therapy: changing dietary concepts. New York: American Diabetes Association, 1964.",
    "Centers for Disease Control and Prevention, Adult BMI Categories. https://www.cdc.gov/bmi/adult-calculator/bmi-categories.html",
    "NIST SP 811 (2008), Appendix B: 1 lb = 0.45359237 kg and 1 in = 0.0254 m exactly."
  ],
  "related": [
    "bmi",
    "body-shape"
  ],
  "changelog": []
}