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Percent Error Calculator

Last updated: November 5, 2026

Calculate absolute error, relative error and percent error between measured and accepted values.

Percent error

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  • Absolute error: —
  • Relative error: —
  • Measurement direction: —
On this page

Quick summary: Calculate absolute error, relative error and percent error between measured and accepted values.

Updated November 5, 2026
Read the complete guide

What this calculator estimates

Calculate absolute error, relative error and percent error between measured and accepted values.

How to use it

Enter Measured or observed value; Accepted or true value. Select Calculate to update the results.

How the calculation works

Percent error is the absolute difference divided by the absolute accepted value, multiplied by 100.

Worked example: starting scenario

Example inputs
Measured or observed value98
Accepted or true value100
Example results
Percent error2%
Absolute error2
Relative error0.02
Measurement directionMeasured value is lower

Important limitations

The accepted value cannot be zero. Context may require signed error instead of absolute percent error.

The reference value defines the denominator

With measured value 105 and accepted value 100, absolute error is 5 and percent error is 5%. Reversing the roles gives 5/105 × 100, about 4.76%, so the comparison is not symmetric. Percent error needs a nonzero accepted value. The signed difference tells the direction, while an absolute-percent-error result discards that sign.