Physics

Efficiency Calculator

Calculate efficiency as a percentage of useful output over total input.


Efficiency Calculator

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Find efficiency as a percentage — how much of the energy or work put into a process comes out as useful output.

How it works

Efficiency is useful output divided by total input, as a percentage: efficiency = (output ÷ input) × 100. A machine producing 80 J of useful work from 100 J of input energy is 80% efficient.

What this does not include

This is a general-purpose efficiency ratio. It doesn’t calculate a specific physical process’s theoretical maximum efficiency (like the Carnot limit for heat engines), which depends on the physics of that particular system.

How to use this calculator

  1. Enter the useful output.
  2. Enter the total input.

A worked example

80 units of useful output from 100 units of input: efficiency = 80 ÷ 100 × 100 = 80%.

450 units of output from 600 units of input: efficiency = 75%.

What the variables mean

Variable Meaning
Output Useful energy or work produced
Input Total energy or work supplied

Edge cases worth knowing

No real machine or process reaches 100% efficiency. Some energy is always lost, typically as heat or friction — this formula simply measures how much of the input made it to useful output, not whether that’s a good or bad result for the specific system.

Zero input makes efficiency undefined — there’s no baseline to measure output against, so the calculator declines to show a result.

Why is no real machine 100% efficient?

Some input energy is always lost to friction, heat, or other forms that don’t contribute to the intended output — the second law of thermodynamics guarantees some loss in any real energy conversion.

Can efficiency exceed 100%?

Not for a simple energy conversion — output can never exceed input without violating conservation of energy, though some devices (like heat pumps) are described with a coefficient of performance that can appear to exceed 1 because they move existing heat rather than generate new energy.

Does the input and output need to be in the same units?

Yes — both need to be measured in the same energy or work units for the ratio to mean anything (both in joules, or both in watts, for example).

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Written by

R. Solano

Physics writer

R. Solano writes the physics calculators, spanning mechanics, electricity, optics and thermodynamics. Each page names the physical model it uses and the conditions under which that model holds — ideal gas, no air resistance, small-angle approximation — because a physics result without its assumptions is a number without a meaning. Formulas are given in symbols first, then in the calculator.

Reviewed by

V. Kowalski

Calculator reviewer — physics and engineering

V. Kowalski reviews the physics and engineering calculators, checking that each page states the physical model it assumes and that the stated model matches the formula actually implemented. Review covers unit consistency throughout a calculation and whether approximations are flagged where the underlying physics is more complicated than the formula suggests.

How we write and review

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