Calories & nutrition · Calculation notebook

Basal metabolic rate BMR calculator: formulas, examples and mathematical principles

Learn the inputs, formula and worked example behind the Basal metabolic rate BMR calculator, including empirical equations are fitted estimates, result interpretation, assumptions and sources.

Open calculator By Toolify · Updated

Purpose and steps

Uses the Mifflin–St Jeor equation to estimate daily resting energy expenditure from weight, height, age, and the sex term used by the equation.

  1. Choose units and use the pre-pregnancy, resting or current measurements requested by the tool; keep observation dates consistent.
  2. Prepare Sex used by the equation, Age, Weight, Height. Defaults demonstrate the model rather than your personal circumstances.
  3. Check the headline result and its components. A key interpretation for this tool is: BMR estimates energy used at rest before daily activity or exercise.
  4. Compare the baseline with a changed scenario: Use a TDEE calculator when you need an estimate that includes activity.

Input reference and units

These values reproduce the model’s demonstration. Replace them with your own records or measurements; they are not recommended targets.

On a small screen, swipe the table horizontally to see all columns.

Parameters used by this calculator
ParameterDemonstration valueHow to enter it
Sex used by the equationFemale Use the definition shown in the field label; keep this assumption consistent when comparing scenarios.
Age30 yearsUse years here. The model converts to months when the payment schedule requires it.
Weight70 kgUse the definition shown in the field label; keep this assumption consistent when comparing scenarios.
Height170 cmUse the definition shown in the field label; keep this assumption consistent when comparing scenarios.

Model-specific method

How this calculator produces its result

Mifflin–St Jeor: women = 10W + 6.25H − 5A − 161; men = 10W + 6.25H − 5A + 5, with kg, cm, and years.

Empirical equations are fitted estimates

A fitted formula summarizes a relationship observed in a study population. Coefficients such as calories per kilogram are not universal laws. Use the prescribed units, population and inputs; a model derived from adults may be unsuitable for children or pregnancy.

Averaging several formula outputs summarizes their center but does not remove their shared limitations. Likewise, showing a result to one decimal place does not mean the real-world quantity is known to that precision. Compare estimates with observations and discuss health decisions with qualified care staff.

Linear model: y = a + b₁x₁ + b₂x₂ + …
Arithmetic mean = sum of estimates / number of estimates
Prediction error ≠ display-rounding error
  • a: fitted intercept
  • b: fitted coefficient with its own unit
  • x: measured input in the equation’s required unit
  • Prediction: estimate within the model’s intended population

Worked example

For a 30-year-old woman at 70 kg and 170 cm: 700 + 1,062.5 − 150 − 161 = about 1,452 kcal/day.

Reproduce the default scenario

This is a separate example, calculated using the exact engine on the tool page and the defaults in the input reference above. Health examples use metric units. Displayed rounding may differ from intermediate precision.

BMR
1,452 kcal/day
Hourly average
60 kcal/hour

Reading results without overstating them

  • BMR estimates energy used at rest before daily activity or exercise.
  • Use a TDEE calculator when you need an estimate that includes activity.

Assumptions and exclusions

  • Individual metabolism can differ because of body composition, health, and measurement conditions.
  • The sex term is part of the published equation and does not capture every individual.
Test a changed assumption in the calculator

Sources and content notes

Toolify describes the implemented algorithm and its assumptions. Sources below support the topic or applicable rules; they do not endorse this calculator. Examples are illustrative, and published rules take precedence over simplified estimates.

Report a formula, example or translation issue through our contact page. Include the tool name, inputs and expected result so it can be reproduced. Contact Toolify