Percent Error Calculator

Calculate percent error between experimental and theoretical values.

A percent error calculator measures the accuracy of an experimental value by comparing it to a known theoretical value.

Enter the experimental (measured) value and the theoretical (accepted) value. The calculator will compute the percent error, absolute error, and relative error.

Examples

Chemistry lab

Measured boiling point 99.1°C vs theoretical 100°C: Error = |99.1-100|/100 × 100 = 0.9%

Physics experiment

Measured gravity 9.7 m/s² vs 9.8 m/s²: Error = |9.7-9.8|/9.8 × 100 = 1.02%

Large error

Measured 15 vs theoretical 10: Error = 5/10 × 100 = 50%

Frequently Asked Questions

What is percent error?
Percent error measures how far an experimental value is from the accepted (theoretical) value, expressed as a percentage of the theoretical value.
Can percent error be negative?
By convention, percent error uses absolute value and is always non-negative. Some fields use signed error to indicate direction.
What is a good percent error?
It depends on the field. In chemistry labs, under 5% is typically acceptable. In precision engineering, much lower errors are expected.
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Quick Tips

  • Double-check your inputs — small errors lead to incorrect results.
  • Use decimal form for fractions when entering values.
  • Compare your percent error to accepted thresholds for your field to judge result quality.

A percent error calculator measures the accuracy of an experimental value by comparing it to a known theoretical value.

How to Use This Calculator

Enter the experimental (measured) value and the theoretical (accepted) value. The calculator will compute the percent error, absolute error, and relative error.

Understanding the Formula

Percent Error = |Experimental - Theoretical| / |Theoretical| × 100%

Examples

Chemistry lab

Measured boiling point 99.1°C vs theoretical 100°C: Error = |99.1-100|/100 × 100 = 0.9%

Physics experiment

Measured gravity 9.7 m/s² vs 9.8 m/s²: Error = |9.7-9.8|/9.8 × 100 = 1.02%

Large error

Measured 15 vs theoretical 10: Error = 5/10 × 100 = 50%

Frequently Asked Questions

What is percent error?

Percent error measures how far an experimental value is from the accepted (theoretical) value, expressed as a percentage of the theoretical value.

Can percent error be negative?

By convention, percent error uses absolute value and is always non-negative. Some fields use signed error to indicate direction.

What is a good percent error?

It depends on the field. In chemistry labs, under 5% is typically acceptable. In precision engineering, much lower errors are expected.

Assumptions & Limitations

  • Assumes the theoretical value is not zero; division by zero is undefined.
  • Assumes exact input values; rounding in inputs propagates to results.
  • Uses absolute value by default, so the result is always non-negative.