This percent error calculator calculates the percentage ratio of the difference between the approximated/observed value and the true/real value over the true figure. There is more information about this statistics calculation below the form.

## What is percent error?

In statistics, the percent error represents the percentage ratio of the estimated value and the true value difference over the true one. In practice there is a difference between the data used (D_{used}) and the true data (D_{true}) either because of an impossibility to measure the true values or because of an inaccuracy in measuring it. In order to mark this difference, especially statistics came up with 3 concepts:

- Absolute Error = |D _{true} – D_{used}|

- Relative Error = |(D_{true} - D_{used})/D_{true}| (Where D_{true} is <> 0)

- Percent Error = |(D_{true} - D_{used})/D_{true}| * 100 (Where D_{true} is <> 0)

The algorithm behind this percent error calculator uses the three formulas presented above.

## Example of a result

In case of a data observed = 125 and a true value of 240 the results are:

Percent error = -47.92

Absolute error = -115

Relative error = -0.48

09 Apr, 2015