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How-to guide

How to Calculate Percent Error: Formula, Steps & Examples

Learn how to calculate Percent Error — the formula explained step by step, with worked examples and a free calculator to check your answer.

By Vikram Iyer, M.Sc Mathematics · Updated Jun 2026 · 2 min read

Calculating your percent error is straightforward once you know the Percent Error formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Percent Error Calculator.

What is Percent Error?

The Percent Error calculation tells you your percent error from a few simple inputs. The figure you are solving for here is the percent error, expressed in percent.

The Percent Error formula

This calculation combines several inputs through a multi-step method rather than a single one-line formula. Enter the values below and the calculator resolves each step in order. The inputs it needs are:

  • Measured / experimental value — a number. Example: 98.
  • True / theoretical value — a number. Example: 100.

How to calculate it step by step

  • Write down the measured / experimental value (for example, 98).
  • Write down the true / theoretical value (for example, 100).
  • Apply the formula above to get your percent error.
  • Double-check the result with the Percent Error Calculator.

Worked examples

Example 1

Input / OutputValue
Measured / experimental value98
True / theoretical value100
Percent error2.000%
Absolute error2.0000

With measured / experimental value of 98 and true / theoretical value of 100, the percent error works out to 2.000%.

Example 2

With measured / experimental value of 200 and true / theoretical value of 100, the percent error works out to 100.000%.

ResultValue
Percent error100.000%
Absolute error100.0000

Example 3

With measured / experimental value of 49 and true / theoretical value of 100, the percent error works out to 51.000%.

ResultValue
Percent error51.000%
Absolute error51.0000

Tips for an accurate result

  • Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
  • Round only at the very end. Rounding inputs early can shift the final answer noticeably.
  • Re-run the numbers whenever an input changes, rather than estimating from an old result.

Prefer not to do the maths by hand? — the Percent Error Calculator does it instantly, for free, with the formula and a worked example built in.

Continue exploring math calculators with these tools: Margin of Error Calculator, Sample Size Calculator, Confidence Interval Calculator, Coefficient of Variation Calculator, Regular Heptagon Area Calculator.

Calculators in this guide

Frequently asked questions

Gather each input, apply the formula step by step keeping your units consistent, and round only at the end. You can verify your answer instantly with the Percent Error Calculator.

It uses the standard formula with exact arithmetic, so the result is correct for the inputs you enter. Bear in mind that real-world outcomes can still differ when underlying assumptions change.

The percent error is expressed in percent. Make sure your inputs use matching units so the result is correct.

Vikram Iyer · M.Sc Mathematics

Vikram Iyer is a mathematics educator with over fifteen years of teaching experience, specialising in making quantitative concepts clear and practical for everyday use.