Percentage error calculator

Compare an experimental or estimated value with the accepted true value — the standard accuracy measure in science classes and labs.

Percent error

Example: measured 9.5, true value 10

Enter values to see the result

How to calculate percent error

  1. Subtract the true value from the measured value and take the absolute value.
  2. Divide by the absolute value of the true value.
  3. Multiply by 100.
Error (%) = |Measured − True| ÷ |True| × 100

Example: measured 9.5 against a true value of 10 → 0.5 ÷ 10 × 100 = 5%

Examples

Chemistry lab
Yield 4.7 g, theoretical 5.0 g
6% error
Physics
g measured 9.6, accepted 9.81
2.14% error
Estimation
Guessed 250, actual 240
4.17% error
Engineering
Part 25.2 mm, spec 25.0 mm
0.8% error

What counts as a good percent error?

It depends on the field. In a school chemistry lab, under 5% is usually considered good. Precision engineering may demand under 0.1%, while rough estimates in economics can tolerate 10% or more. Always compare your error to the tolerance your context requires.

Frequently asked questions

Can percent error be negative?

With the standard formula, no — the absolute value makes it positive. Some teachers use a signed version to show direction: negative means you measured low, positive high.

What is the difference between percent error and percentage difference?

Percent error compares against a known true value. Percentage difference compares two values of equal standing, dividing by their average.

What if the true value is zero?

Percent error is undefined — you cannot divide by zero. Use absolute error instead.

Is percent error the same as percent uncertainty?

No. Percent error compares your result to the accepted value; percent uncertainty expresses the resolution limits of your measuring instrument.

Why is my percent error over 100%?

Your measurement is more than double (or less than zero times) the true value — usually a sign of a unit conversion mistake or a systematic error in the experiment.