Percentage Error Calculator

Quickly calculate the percentage error between an estimated and actual value.

Enter the estimated and actual values to calculate the percentage error.

Result:

$$ Percentage Error = \frac{{\mid Estimated Value - Actual Value \mid}}{{Actual Value}} \times 100 $$

Understanding Percentage Error

Percentage error is the difference between an estimated value and the actual value in percentage form. It indicates the accuracy of an estimation or measurement. A lower percentage error means higher accuracy, while a higher percentage error indicates a larger discrepancy between the estimated and actual values.

It is commonly used in various fields such as science, engineering, statistics, and finance to assess the reliability of results and predictions.

Formula:

$$ Percentage Error = \frac{{\mid Estimated Value - Actual Value \mid}}{{Actual Value}} \times 100 $$

Example:

If you estimated the height of a building to be 50 meters, but the actual height is 52 meters, the percentage error is calculated as:

Percentage Error = |50 - 52| / 52 * 100 ≈ 3.85%

This means your estimation was off by approximately 3.85% of the actual height.