Percent Error Calculator
Calculate signed percent error between a measured and a true value. Negative = underestimate; positive = overestimate. Returns zero when actual is zero.
How to use this tool
- Enter measured value and actual (true) value in the fields above.
- Results update instantly as you type — or click Calculate.
- Read your percent error and the full breakdown beneath it.
Formula
% Error = ((Measured - Actual) / |Actual|) * 100
How it works
Subtract actual from measured, divide by the absolute value of actual, multiply by 100. Negative = underestimate.
Worked example
Measured 9.8, actual 10.0
- Error = (9.8-10)/|10| * 100
- = -0.2/10 * 100 = -2%
Common mistakes to avoid
- Dividing by the measured value instead of the actual (true) value; the formula requires |Actual| in the denominator.
- Ignoring the sign of the result; a negative percent error means the measured value was too low, which is meaningful information.
- Entering zero as the actual value, which makes the denominator zero and the result undefined.
Key terms
Frequently asked questions
- What is the difference between percent error and percent difference?
- Percent error compares a measurement to a known true value. Percent difference compares two measurements with no designated true value, using their average as the denominator.
- Is a negative percent error bad?
- Not necessarily. It simply means the measured result was lower than the accepted value. Whether that matters depends on context and required precision.
- Should I use the absolute value of actual in the denominator?
- Yes. This calculator uses |Actual| so the sign of the percent error reflects the direction of the error rather than the sign of the reference value.