Percentage Math Calculator Suite
Perform percentage calculations, find percentage changes, percentage differences, or errors with detailed mathematical steps.
Percent error compares observed and accepted values. Use the accepted or theoretical value as the denominator.
Calculated Output
4.0000%
The percentage error is 4.0000%
Mathematical Formula & Step:
(|Observed - Theoretical| / |Theoretical|) × 100% = (|9.6 - 10| / |10|) × 100% = (0.4000 / 10) × 100% = 4.0000%Frequently Asked Questions
What is the difference between percentage change and percentage difference?
Percentage change is used when there is a clear 'before' and 'after' state (e.g. from 80 to 120, a 50% increase). Percentage difference compares two values where order doesn't matter (e.g. the difference between 50 and 65 relative to their average, which is 26.09%).
How is percentage error calculated?
Percentage error measures accuracy, calculated as: |Observed Value - Theoretical Value| / Theoretical Value × 100%.