Nutrition & Food
Intermediate

Weight Change from Energy Balance

Approximate body-fat change (kg) from a cumulative calorie deficit or surplus.

Formula

Δm=Edeficit7700\Delta m = \frac{E_{deficit}}{7700}

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Variables

E_{deficit}Net energy deficit (kcal)

Example

7700 kcal deficit ⇒ ≈ 1 kg

How it works

This formula estimates how much body mass may change when a person accumulates a calorie deficit or surplus, using about 7700 kcal per kilogram of body fat. It comes from the rough energy content of stored adipose tissue: if you consistently eat less energy than you burn, the body must draw on stored fuel, and the reverse is true for a surplus. It is an approximation, because real body weight also shifts with water, glycogen, and changes in lean tissue, so it is best for rough planning rather than exact prediction.

When to use it

Use this when estimating expected fat loss or gain from a tracked calorie deficit/surplus over days to months, such as in diet planning or sports nutrition. It is also useful for checking whether a proposed weight-change target is physically plausible from the stated energy balance.

Worked example, step by step

A person has maintained an average deficit of 1540 kcal over several weeks. Δm = E_deficit / 7700 Δm = 1540 / 7700 Δm = 0.20 kg So the estimated body-fat change is about 0.20 kg lost.

Common mistakes to avoid

  • Treating the result as exact body-weight change instead of an approximation of fat change
  • Using calories eaten in a day without subtracting energy burned, which is not a deficit
  • Forgetting that a surplus gives weight gain and a deficit gives weight loss, so the sign matters

Did You Know?

The rule of ~7700 kcal per kilogram (3500 kcal per pound) comes from the energy stored in body-fat tissue.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026