Calculate Your Optimal Weight

Calculate Your Optimal Weight: Free Calculator & Comprehensive Guide /* Global Reset & Base Styles */ * { box-sizing: border-box; margin: 0; padding: 0; } body { font-family: -apple-system, BlinkMacSystemFont, "Segoe UI", Roboto, Helvetica, Arial, sans-serif; line-height: 1.6; color: #333; background-color: #f8f9fa; } /* Layout */ .container { max-width: 960px; margin: 0 auto; padding: 20px; background: #fff; box-shadow: 0 0 20px rgba(0,0,0,0.05); } header, footer, main { width: 100%; display: block; } /* Typography */ h1 { color: #004a99; font-size: 2.5rem; margin-bottom: 1rem; text-align: center; } h2 { color: #004a99; font-size: 1.8rem; margin-top: 2.5rem; margin-bottom: 1.2rem; border-bottom: 2px solid #e9ecef; padding-bottom: 10px; } h3 { color: #444; font-size: 1.4rem; margin-top: 1.5rem; margin-bottom: 1rem; } p { margin-bottom: 1.2rem; font-size: 1.1rem; } li { margin-bottom: 0.8rem; margin-left: 1.5rem; } /* Calculator Styles */ .loan-calc-container { background: #fff; padding: 30px; border-radius: 8px; border: 1px solid #dee2e6; box-shadow: 0 4px 12px rgba(0,0,0,0.08); margin-bottom: 40px; } .input-group { margin-bottom: 20px; } .input-group label { display: block; font-weight: 600; margin-bottom: 8px; color: #495057; } .input-group input, .input-group select { width: 100%; padding: 12px; border: 1px solid #ced4da; border-radius: 4px; font-size: 1rem; transition: border-color 0.2s; } .input-group input:focus, .input-group select:focus { border-color: #004a99; outline: none; } .helper-text { font-size: 0.85rem; color: #6c757d; margin-top: 5px; } .error-msg { color: #dc3545; font-size: 0.85rem; margin-top: 5px; display: none; } /* Buttons */ .btn-group { display: flex; gap: 10px; margin-top: 20px; } .btn { padding: 12px 24px; border: none; border-radius: 4px; font-size: 1rem; font-weight: 600; cursor: pointer; transition: background 0.2s; } .btn-reset { background: #6c757d; color: white; } .btn-reset:hover { background: #5a6268; } .btn-copy { background: #004a99; color: white; } .btn-copy:hover { background: #003d80; } /* Results Section */ .results-section { margin-top: 30px; padding-top: 20px; border-top: 2px solid #f1f3f5; } .main-result-box { background: #e8f5e9; border: 1px solid #c3e6cb; padding: 25px; border-radius: 6px; text-align: center; margin-bottom: 25px; } .main-result-label { font-size: 1.2rem; color: #155724; margin-bottom: 10px; font-weight: bold; } .main-result-value { font-size: 3rem; color: #28a745; font-weight: 800; } .intermediate-grid { display: flex; flex-wrap: wrap; gap: 15px; margin-bottom: 25px; } .metric-card { flex: 1; min-width: 200px; background: #f8f9fa; padding: 15px; border-radius: 6px; border: 1px solid #dee2e6; text-align: center; } .metric-label { font-size: 0.9rem; color: #666; margin-bottom: 5px; font-weight: 600; } .metric-value { font-size: 1.4rem; color: #333; font-weight: 700; } /* Chart & Table */ .chart-container { width: 100%; height: 350px; margin: 30px 0; border: 1px solid #eee; padding: 10px; border-radius: 6px; position: relative; } table { width: 100%; border-collapse: collapse; margin: 20px 0; font-size: 1rem; } table th, table td { padding: 12px 15px; text-align: left; border-bottom: 1px solid #dee2e6; } table th { background-color: #f1f3f5; font-weight: 600; color: #495057; } table caption { caption-side: bottom; font-size: 0.9rem; color: #6c757d; padding: 10px; text-align: left; font-style: italic; } /* FAQ & Content */ .faq-item { background: #fdfdfe; border: 1px solid #eee; padding: 20px; border-radius: 6px; margin-bottom: 15px; } .faq-question { font-weight: 700; color: #004a99; margin-bottom: 10px; display: block; } .internal-links-list { list-style: none; margin-left: 0; display: grid; grid-template-columns: repeat(auto-fill, minmax(250px, 1fr)); gap: 15px; } .internal-links-list li { margin: 0; background: #f1f3f5; padding: 15px; border-radius: 4px; border-left: 4px solid #004a99; } .internal-links-list a { text-decoration: none; color: #004a99; font-weight: 700; display: block; margin-bottom: 5px; } .internal-links-list span { font-size: 0.9rem; color: #555; display: block; } @media (max-width: 600px) { h1 { font-size: 2rem; } .main-result-value { font-size: 2.2rem; } }

Calculate Your Optimal Weight

Use this professional calculator to determine your ideal body weight based on clinically validated formulas. Understanding how to calculate your optimal weight is the first step toward long-term health and fitness.

Male Female
Biological sex affects body composition formulas.
Enter height in centimeters (e.g., 175).
Please enter a valid height between 100cm and 250cm.
Small Frame (-10%) Medium Frame (Standard) Large Frame (+10%)
Frame size adjusts the calculation for bone structure density.
Estimated Optimal Weight (Avg)
— kg
Average based on 4 major clinical formulas adjusted for frame size.
Healthy BMI Range
Devine Formula
Robinson Formula
Breakdown of results by different medical formulas.
Formula Method Calculated Weight (kg) Description

Chart Comparison: Shows the calculated optimal weight across different formulas versus the standard BMI range.

What is "Calculate Your Optimal Weight"?

When you set out to calculate your optimal weight, you are attempting to identify a body weight range that correlates with maximum longevity and minimal risk of chronic disease. Unlike a purely aesthetic goal, optimal weight calculations rely on anthropometric data—such as height, gender, and frame size—to estimate a healthy baseline.

Health professionals use these calculations to screen for nutritional status. However, a common misconception is that a single number defines health. In reality, when you calculate your optimal weight, you are finding a target range. Factors like muscle mass, bone density, and age play significant roles. This tool helps individuals, athletes, and patients establish a realistic weight goal based on established medical formulas rather than guesswork.

Optimal Weight Formulas and Mathematical Explanation

There is no single "perfect" equation to calculate your optimal weight. Instead, dietitians rely on several formulas developed over decades. Our calculator aggregates these to provide a comprehensive estimate. Below are the primary methods used.

1. The Devine Formula (1974)

Originally developed to calculate drug dosages, this is perhaps the most widely used formula medically.

  • Men: 50 kg + 2.3 kg per inch over 5 feet
  • Women: 45.5 kg + 2.3 kg per inch over 5 feet

2. The Robinson Formula (1983)

An adjustment of the Devine formula using slightly different base weights.

  • Men: 52 kg + 1.9 kg per inch over 5 feet
  • Women: 49 kg + 1.7 kg per inch over 5 feet

3. The Miller Formula (1983)

Often yields lower estimates, which some argue is more realistic for modern sedentary populations.

  • Men: 56.2 kg + 1.41 kg per inch over 5 feet
  • Women: 53.1 kg + 1.36 kg per inch over 5 feet

Variables Table

Key variables used in optimal weight calculations
Variable Meaning Unit Typical Range
Base Weight Starting constant for calculation kg 45 – 56 kg
Height Increment Weight added per unit of height kg/inch 1.36 – 2.7 kg
Frame Multiplier Adjustment for bone structure Factor 0.9 (Small) – 1.1 (Large)

Practical Examples: Calculating Optimal Weight

Example 1: The Average Male

Profile: John is a 35-year-old male, 178 cm (approx. 5ft 10in) tall, with a medium frame. He wants to calculate his optimal weight to set a gym goal.

  • Input Height: 178 cm
  • Gender: Male
  • Calculation (Devine): Base 50kg + (2.3kg × 10 inches) = 73kg.
  • Calculation (BMI Range): For 1.78m, a BMI of 22 (mid-range) yields ~69.7kg.
  • Result: John's optimal weight is roughly 70kg – 75kg. If he is muscular, he might weigh more without being "overweight."

Example 2: The Petite Female

Profile: Sarah is 160 cm (approx. 5ft 3in) tall with a small frame. She feels standard charts suggest a weight that is too heavy for her build.

  • Input Height: 160 cm
  • Gender: Female
  • Frame Adjustment: Small (-10%)
  • Calculation (Robinson): Base 49kg + (1.7kg × 3 inches) = 54.1kg.
  • Adjustment: 54.1kg × 0.9 = 48.7kg.
  • Result: Sarah's adjusted optimal weight is approximately 49kg, accounting for her smaller bone structure.

How to Use This Optimal Weight Calculator

Follow these steps to accurately calculate your optimal weight:

  1. Select Gender: Choose Male or Female. This determines the base constant in the mathematical formulas.
  2. Enter Height: Input your height in centimeters accurately. If you know your height in feet/inches, convert it (Feet × 30.48 + Inches × 2.54).
  3. Select Frame Size:
    • Small: Wrist circumference is smaller than average for your height.
    • Medium: Average bone structure.
    • Large: Broad shoulders, larger wrists.
  4. Review Results: The "Main Result" provides an average of the best formulas. Check the table to see how different experts (Devine, Miller, etc.) evaluate your height.
  5. Analyze the Chart: Use the visual graph to see where your specific calculated weight falls compared to the broad "Healthy BMI" zone.

Key Factors That Affect Optimal Weight Results

When you calculate your optimal weight, the number on the screen is a theoretical ideal. Real-world biology is more complex. Consider these six factors:

  • Muscle Mass: Muscle tissue is denser than fat. An athlete may weigh significantly more than the calculator suggests but have a low body fat percentage and excellent health.
  • Bone Density: Genetic variances in skeletal density can account for 2-3 kg of weight difference between individuals of the same height.
  • Age: Metabolism slows with age. While the formulas don't explicitly change variables for age, older adults often require slightly different weight targets to maintain bone health and frailty resilience.
  • Body Fat Distribution: Visceral fat (around organs) is riskier than subcutaneous fat. Two people may have the same "optimal weight" but different health risks based on where fat is stored.
  • Hydration Status: Daily weight can fluctuate by 1-2 kg purely due to water retention, salt intake, or glycogen storage.
  • Pregnancy & Lactation: Standard formulas do not apply. Pregnant individuals must consult a doctor, as weight gain is necessary and healthy during this period.

Frequently Asked Questions (FAQ)

How often should I calculate my optimal weight?

You generally only need to calculate your optimal weight once as an adult, unless your height changes. However, you should weigh yourself regularly (weekly or monthly) to track progress relative to this goal.

Why does the Miller formula give a lower weight?

The Miller formula (1983) often results in lower estimates because it was derived based on insurance data that favored lighter individuals. It is often considered more restrictive than the Devine formula.

Is BMI accurate for bodybuilders?

No. BMI and standard weight formulas fail for bodybuilders because they cannot distinguish between muscle mass and fat mass. A bodybuilder might be classified as "overweight" despite having very low body fat.

Can I use this calculator for children?

No. These formulas (Devine, Robinson, etc.) are intended for adults over 18. Children require specialized growth charts (CDC or WHO percentiles) to assess healthy weight.

Does frame size really matter?

Yes. A person with a large skeletal frame naturally carries more non-fat mass. Adjusting for frame size prevents unrealistic dieting goals for broad-shouldered individuals.

What if my weight is outside the optimal range?

Being slightly outside the range is often normal. However, significant deviation may increase health risks. Consult a doctor or dietitian before starting a weight loss or weight gain program.

How do I measure my frame size?

A simple method is the wrist wrap test. Wrap your thumb and middle finger around your wrist. If they overlap, you have a small frame. If they touch, medium. If they don't meet, large.

Is the Devine formula the most accurate?

It is the most widely used in pharmacology for dosing medications based on ideal body weight. For general health, it serves as a very reliable baseline estimate.

© 2023 Financial & Health Tools. All rights reserved.

Disclaimer: This calculator is for informational purposes only and does not constitute medical advice.

// Initialize calculator document.addEventListener("DOMContentLoaded", function() { calculateWeight(); }); function getElement(id) { return document.getElementById(id); } function resetCalculator() { getElement("gender").value = "male"; getElement("heightCm").value = "175"; getElement("frameSize").value = "1.0"; getElement("heightError").style.display = "none"; calculateWeight(); } function calculateWeight() { // 1. Get Inputs var gender = getElement("gender").value; var heightCm = parseFloat(getElement("heightCm").value); var frameMult = parseFloat(getElement("frameSize").value); // 2. Validate if (isNaN(heightCm) || heightCm 300) { if (!isNaN(heightCm)) { getElement("heightError").style.display = "block"; } return; // Stop calculation if invalid } else { getElement("heightError").style.display = "none"; } // 3. Constants & Conversions // Height in inches for formulas. Base is 5 feet (60 inches). var heightInches = heightCm / 2.54; var inchesOver5ft = heightInches – 60; // Ensure height is at least 5ft for these formulas to work standardly // If under 5ft, we subtract (logic holds mathematically but clinically varies) // We will allow the math to flow but note limitation if needed. // 4. Calculate Formulas (Base results in kg) var devine = 0; var robinson = 0; var miller = 0; var hamwi = 0; if (gender === "male") { // Male Formulas // Devine: 50kg + 2.3kg per inch over 60 devine = 50 + (2.3 * inchesOver5ft); // Robinson: 52kg + 1.9kg per inch over 60 robinson = 52 + (1.9 * inchesOver5ft); // Miller: 56.2kg + 1.41kg per inch over 60 miller = 56.2 + (1.41 * inchesOver5ft); // Hamwi: 48kg (approx 106lbs) + 2.7kg (6lbs) per inch over 60 hamwi = 48.0 + (2.7 * inchesOver5ft); } else { // Female Formulas // Devine: 45.5kg + 2.3kg per inch over 60 devine = 45.5 + (2.3 * inchesOver5ft); // Robinson: 49kg + 1.7kg per inch over 60 robinson = 49 + (1.7 * inchesOver5ft); // Miller: 53.1kg + 1.36kg per inch over 60 miller = 53.1 + (1.36 * inchesOver5ft); // Hamwi: 45.5kg (100lbs) + 2.27kg (5lbs) per inch over 60 hamwi = 45.5 + (2.27 * inchesOver5ft); } // Apply Frame Size Adjustment devine = devine * frameMult; robinson = robinson * frameMult; miller = miller * frameMult; hamwi = hamwi * frameMult; // Calculate BMI Range (18.5 – 24.9) // Weight = BMI * (Height in meters)^2 var heightM = heightCm / 100; var minBmiWeight = 18.5 * (heightM * heightM); var maxBmiWeight = 24.9 * (heightM * heightM); var avgBmiWeight = 21.7 * (heightM * heightM); // Calculate Average of Formulas var formulaSum = devine + robinson + miller + hamwi; var formulaAvg = formulaSum / 4; // 5. Update UI getElement("mainResult").innerText = formulaAvg.toFixed(1) + " kg"; getElement("bmiRangeResult").innerText = minBmiWeight.toFixed(1) + " – " + maxBmiWeight.toFixed(1) + " kg"; getElement("devineResult").innerText = devine.toFixed(1) + " kg"; getElement("robinsonResult").innerText = robinson.toFixed(1) + " kg"; // Update Table var tableHtml = ""; tableHtml += "Devine (1974)" + devine.toFixed(1) + "Medical standard for dosing."; tableHtml += "Robinson (1983)" + robinson.toFixed(1) + "Refined Devine formula."; tableHtml += "Miller (1983)" + miller.toFixed(1) + "Based on insurance data."; tableHtml += "Hamwi (1964)" + hamwi.toFixed(1) + "Commonly used by dietitians."; tableHtml += "Healthy BMI (18.5-24.9)" + minBmiWeight.toFixed(1) + " – " + maxBmiWeight.toFixed(1) + "WHO General Health Standard."; getElement("resultTableBody").innerHTML = tableHtml; // 6. Draw Chart drawChart(minBmiWeight, maxBmiWeight, formulaAvg, devine, miller); } function drawChart(min, max, avg, devine, miller) { var canvas = getElement("weightChart"); var ctx = canvas.getContext("2d"); var width = canvas.width = canvas.parentElement.offsetWidth; var height = canvas.height = canvas.parentElement.offsetHeight; // Clear ctx.clearRect(0, 0, width, height); // Setup dimensions var padding = 50; var chartW = width – (padding * 2); var chartH = height – (padding * 2); // Determine Scale (Min/Max Weight to display) var scaleMin = min – 10; var scaleMax = max + 10; var range = scaleMax – scaleMin; // Helper to get X position function getX(val) { return padding + ((val – scaleMin) / range) * chartW; } // Draw Axes ctx.beginPath(); ctx.strokeStyle = "#ccc"; ctx.moveTo(padding, height – padding); ctx.lineTo(width – padding, height – padding); // X axis ctx.stroke(); // Draw Ticks ctx.textAlign = "center"; ctx.fillStyle = "#666"; ctx.font = "12px sans-serif"; for (var i = 0; i <= 5; i++) { var val = scaleMin + (range * (i / 5)); var x = getX(val); ctx.fillText(Math.round(val) + "kg", x, height – padding + 20); // Grid line ctx.beginPath(); ctx.strokeStyle = "#eee"; ctx.moveTo(x, padding); ctx.lineTo(x, height – padding); ctx.stroke(); } // 1. Draw BMI Range Bar (Green Zone) var barY = height / 2 – 20; var barHeight = 40; var xStart = getX(min); var xEnd = getX(max); ctx.fillStyle = "rgba(40, 167, 69, 0.2)"; ctx.fillRect(xStart, barY, xEnd – xStart, barHeight); ctx.strokeStyle = "#28a745"; ctx.strokeRect(xStart, barY, xEnd – xStart, barHeight); // Label for Range ctx.fillStyle = "#155724"; ctx.fillText("Healthy BMI Range", xStart + (xEnd – xStart)/2, barY – 10); // 2. Draw Formula Points function drawPoint(val, color, label, yOffset) { var px = getX(val); var py = (height / 2) + yOffset; ctx.beginPath(); ctx.arc(px, py, 6, 0, 2 * Math.PI); ctx.fillStyle = color; ctx.fill(); ctx.fillStyle = "#333"; ctx.fillText(label, px, py + 20); } // Spread points out slightly vertically drawPoint(devine, "#004a99", "Devine", 0); drawPoint(miller, "#dc3545", "Miller", 25); // Draw Avg with a line var avgX = getX(avg); ctx.beginPath(); ctx.strokeStyle = "#004a99"; ctx.setLineDash([5, 5]); ctx.moveTo(avgX, padding); ctx.lineTo(avgX, height – padding); ctx.stroke(); ctx.setLineDash([]); ctx.fillStyle = "#004a99"; ctx.fillText("Calculated Average", avgX, padding – 10); } function copyResults() { var main = getElement("mainResult").innerText; var range = getElement("bmiRangeResult").innerText; var height = getElement("heightCm").value; var text = "My Optimal Weight Calculation:\n"; text += "Height: " + height + " cm\n"; text += "Estimated Ideal Weight: " + main + "\n"; text += "Healthy BMI Range: " + range + "\n"; text += "Calculated using Devine, Robinson, and Miller formulas."; navigator.clipboard.writeText(text).then(function() { var btn = document.querySelector(".btn-copy"); var original = btn.innerText; btn.innerText = "Copied!"; setTimeout(function() { btn.innerText = original; }, 2000); }); }

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