Updated

Harris-Benedict equation: original and revised formulas, with examples

The Harris-Benedict equation estimates resting energy use from weight, height, age and sex. The 1984 revision, which this calculator runs, is 88.362 + 13.397 × weight (kg) + 4.799 × height (cm) − 5.677 × age for men. The original dates from 1919. The revision is precise to about 14% in normally nourished adults.

Sex
years
18–80
Height
ft
in
4 ft 3 in – 7 ft 7 in (approx.)
lb
77–551 lb (approx.)
%
8–55%, optional. Adds the Katch-McArdle equation
Activity level

These are example numbers. Enter your own above.

Your maintenance calories, as a range across equations

2,112–2,202 kcal/day

Each equation's BMR × 1.2 for your activity level. Mean of the equations 2,157 kcal/day, and the equations disagree by 90 kcal.

Every activity level on one scale. Each bar runs from the lowest equation to the highest, and each tick is one equation. The same figures are in the activity table below.

Your activity choice moves this estimate more than the equations disagree. One step to “Lightly active” moves the mean about 314 kcal/day, while the equations on your row span 90 kcal/day.

Is exercise already included? Yes. The “Sedentary” multiplier (×1.2) already covers your workouts and daily movement. Do not add calories burned in the gym on top of this number. Double-counting exercise is the most common reason these estimates come out too high.

What each published equation gives, at your activity level (×1.2)
Mifflin-St Jeor2,112 kcal
Revised Harris-Benedict2,202 kcal
Katch-McArdleadd body fat % to include it
The same calculation at every activity level, and the figures behind the graphic above. It shows what each factor gives; it cannot tell you which level is yours.
Activity levelFactorMaintenance
Sedentaryselected×1.22,112–2,202 kcal
Lightly active×1.3752,420–2,523 kcal
Moderately active×1.552,728–2,844 kcal
Very active×1.7253,036–3,165 kcal
Extra active×1.93,344–3,486 kcal
Show the work

Each equation estimates your basal metabolic rate (BMR), the energy you use at complete rest, from your sex, age, height and weight. Katch-McArdle instead uses lean body mass, which is why it needs a body fat percentage. Every BMR is then multiplied by your activity factor (×1.2) to reach maintenance calories. The range you see is the spread between equations, not a margin of error for your body.

Your weight, height, age, sex and body fat stay in this browser, on this device. Nothing is uploaded, there is no account, and no other company receives any of it. The button below deletes what this page stored, where this browser allows it.

Supported inputs: ages 18–80; height 130–230 cm (4 ft 3 in – 7 ft 7 in); weight 35–250 kg (77–551 lb); body fat 8–55% or blank. Imperial figures are rounded; metric limits are exact. Results are shown in whole calories per day.

What is the Harris-Benedict equation?

The Harris-Benedict equation predicts resting energy use from weight, height, age and sex. J. Arthur Harris and Francis G. Benedict derived the original equations at the Carnegie Institution of Washington from 239 adults: 136 men and 103 women. Their work appeared in a 1918 journal communication and the 1919 monograph A Biometric Study of Basal Metabolism in Man (Harris and Benedict, 1919).

The 1984 revision is subtitled "resting energy requirements" (Roza and Shizgal, 1984). It predicts resting energy. Calculators, this one included, label the result BMR by convention.

The equations were revised in 1984 and again in 2023 (Pavlidou and colleagues, 2023). Each version uses different coefficients, which is worth knowing when two calculators disagree.

The Harris-Benedict equation for men and women

The Harris-Benedict formula has separate equations for men and women. Weight is entered in kilograms, height in centimeters and age in years.

Original Harris-Benedict equation (1919)

Men:

66.4730 + 13.7516 × weight (kg) + 5.0033 × height (cm) − 6.7550 × age

Women:

655.0955 + 9.5634 × weight (kg) + 1.8496 × height (cm) − 4.6756 × age

These coefficients come from the original monograph's equations for 136 men and 103 women. Rounded forms such as 66.5 / 13.75 / 5.003 / 6.755 and 655.1 / 9.563 / 1.850 / 4.676 are common online and give results within a few kcal.

Revised Harris-Benedict equation (1984): the version this calculator uses

Men:

88.362 + 13.397 × weight (kg) + 4.799 × height (cm) − 5.677 × age

Women:

447.593 + 9.247 × weight (kg) + 3.098 × height (cm) − 4.330 × age

These are the coefficients this calculator uses. Roza and Shizgal refit the original data plus 98 later subjects, for 337 in total. The coefficients are also reproduced in the comparison table from the 2023 revision paper (Pavlidou and colleagues, 2023).

How to tell which version a calculator uses

Look at the constant. About 66 for men or 655 for women means the original. A constant of 88.362 for men or 447.593 for women means the 1984 revision.

The 2023 revision uses different constants, 260 for men and 43 for women, and uses height in metres. Its full formula is not printed here because this calculator runs the 1984 revision; see the History section below.

Table 1: all versions side by side

Sex1919 original1984 revision2023 note
Men66.4730 + 13.7516 × weight (kg) + 5.0033 × height (cm) − 6.7550 × age88.362 + 13.397 × weight (kg) + 4.799 × height (cm) − 5.677 × ageConstant 260; height in metres
Women655.0955 + 9.5634 × weight (kg) + 1.8496 × height (cm) − 4.6756 × age447.593 + 9.247 × weight (kg) + 3.098 × height (cm) − 4.330 × ageConstant 43; height in metres

How to calculate BMR with the Harris-Benedict equation

To apply the revised Harris-Benedict equation, convert body weight from pounds to kilograms and height from feet and inches to centimeters. Substitute the metric values into the equation for the person's sex. Add the constant and the positive terms, then subtract the age term. The result is an estimate of resting energy use in kcal per day.

The maintenance calorie calculator uses the 1984 revision. The examples below show how the original and revised equations produce slightly different results for the same body.

Worked example: a 30-year-old man, 5 ft 10 in, 175 lb

This body is 79.38 kg and 177.8 cm. Using the revised equation:

88.362 + (13.397 × 79.38) + (4.799 × 177.8) − (5.677 × 30) = 88.362 + 1,063.4 + 853.3 − 170.3 = 1,835 kcal/day

Using the original equation:

66.473 + (13.7516 × 79.38) + (5.0033 × 177.8) − (6.7550 × 30) = 66.473 + 1,091.6 + 889.6 − 202.7 = 1,845 kcal/day

Worked example: a 30-year-old woman, 5 ft 5 in, 140 lb

This body is 63.50 kg and 165.1 cm. Using the revised equation:

447.593 + (9.247 × 63.50) + (3.098 × 165.1) − (4.330 × 30) = 447.593 + 587.2 + 511.5 − 129.9 = 1,416 kcal/day

Using the original equation:

1,428 kcal/day

Table 2: step by step

BodyInputs in metric units1919 original1984 revision
Man, 30, 5 ft 10 in, 175 lb79.38 kg, 177.8 cm66.473 + 1,091.6 + 889.6 − 202.7 = 1,845 kcal/day88.362 + 1,063.4 + 853.3 − 170.3 = 1,835 kcal/day
Woman, 30, 5 ft 5 in, 140 lb63.50 kg, 165.1 cm1,428 kcal/day447.593 + 587.2 + 511.5 − 129.9 = 1,416 kcal/day

For these two bodies, the original and revised equations differ by 10-11 kcal.

From BMR to daily calories: the activity factor

The Harris-Benedict result estimates resting energy. An activity factor is then multiplied by that result to produce a daily estimate that includes movement. The factor is a convention associated with the Harris-Benedict tradition, not the product of a validation study. A search of the primary literature found no source for the individual values.

The factor is a single decimal, typically ranging from 1.2 for little or no activity to 1.9 for intense daily exercise. Using the man's revised BMR of 1,835 kcal/day:

Table 3: the man's revised 1,835 kcal BMR across the five factors

FactorLevelDaily estimate
1.2Sedentary2,202
1.375Lightly active2,523
1.55Moderately active2,844
1.725Very active3,165
1.9Extra active3,486

The multiplication is 1,835 × each factor. The displayed daily estimates are rounded to whole kcal. The activity level changes the result by hundreds of kcal, while the two Harris-Benedict versions differ by 10-11 kcal in the examples above.

History of the Harris-Benedict equation

The equation has two birth dates. December 1918 is the journal communication and 1919 is the full monograph, and both appear in the literature.

Table 4: timeline

YearEventSource
Dec 1918Harris and Benedict, "A Biometric Study of Human Basal Metabolism", PNAS 4(12):370-373Harris and Benedict, 1918
1919Full monograph, Carnegie Institution Publication 279: equations from 136 men and 103 womenHarris and Benedict, 1919
1984Roza and Shizgal refit with 98 additional subjects, 337 total; report precision of ±14% in normally nourished adults, unreliable in malnourished patientsRoza and Shizgal, 1984, Pavlidou and colleagues, 2023
1990Mifflin and colleagues find the 1919 equations overestimate measured resting energy by 5% in 498 adultsMifflin and colleagues, 1990
2023Pavlidou and colleagues publish new resting-rate equations from 722 adults, reported as more accurate than Harris-Benedict and Mifflin-St Jeor in their test groupPavlidou and colleagues, 2023

How accurate is the Harris-Benedict equation?

Accuracy depends on the population and the comparison method. Roza and Shizgal reported a precision of ±14% in normally nourished adults. They also found the equations unreliable in malnourished patients, where they underestimated measured oxygen consumption (Roza and Shizgal, 1984).

Mifflin and colleagues tested the 1919 equations against measured resting energy expenditure in 498 adults. The equations overestimated by 5%, a difference that was significant at p < 0.01 (Mifflin and colleagues, 1990).

In obese adults, the Academy of Nutrition and Dietetics reports that Harris-Benedict with actual body weight was within 10% of measured resting metabolic rate in 39-64% of cases. Up to 43% of estimates were above the measured value, and up to 35% were below it. The corresponding figure for Mifflin-St Jeor was 70% (Academy of Nutrition and Dietetics).

These figures describe groups, not a guaranteed range for any one person.

Harris-Benedict vs Mifflin-St Jeor

For the two example bodies in Table 5, the original and revised Harris-Benedict equations produce results that differ by only 10-11 kcal. Mifflin-St Jeor comes in 60-85 kcal below the Harris-Benedict values for these same bodies, whichever version is used. That 60-85 kcal gap is modest compared with the effect of the activity factor, which changes a daily estimate by hundreds of kcal as movement level changes. In practice, the factor changes the final number far more than the choice of basal equation.

Table 5

BodyOriginal HB (1919)Revised HB (1984)Mifflin-St Jeor
Man, 30, 5 ft 10 in, 175 lb1,8451,8351,760
Woman, 30, 5 ft 5 in, 140 lb1,4281,4161,356

For overweight and obese adults, the Academy of Nutrition and Dietetics prefers Mifflin-St Jeor when resting metabolic rate cannot be measured directly (Academy of Nutrition and Dietetics).

Frequently asked questions

What is the best equation for BMR?

No equation is best for everyone. For overweight and obese adults, the Academy names Mifflin-St Jeor when resting metabolic rate cannot be measured (Academy of Nutrition and Dietetics).

Which Harris-Benedict equation does this calculator use?

This calculator uses the 1984 revision. For men, its constant is 88.362. For women, its constant is 447.593.

Is the Harris-Benedict equation BMR or RMR?

The equation predicts resting energy requirements (Roza and Shizgal, 1984). The label BMR is a convention used by calculators for the result.

Does the Harris-Benedict equation include exercise?

No. The equation estimates resting energy. An activity factor is applied separately to account for movement.

Is the Harris-Benedict equation different for women?

Yes. It is a separate equation with its own constant and coefficients. The women's equations appear alongside the men's equations in Table 1.

Can the Harris-Benedict equation be used for weight loss?

It estimates the energy a body uses. It does not set a target, and this page does not give one.

Sources

This calculator provides general information, not medical or nutritional advice. It does not diagnose or treat any condition. Talk to a qualified clinician or registered dietitian before making significant changes to what you eat.

Written by the Maintenance Calorie Calculator editorial team.