How this calculation works
The second change uses the new base. A 20% loss after a 20% gain removes 24 units when the original amount was 100.
THE FORMULA
100 × [(1+p/100)(1+q/100)(1+r/100) − 1]A worked example
A 20% increase followed by a 20% decrease leaves 96% of the original.
Good to know
Enter reductions as negative percentages.
Reference: OpenStax Prealgebra (opens in a new tab) ↗
Read the result
Combine consecutive changes that each apply to the latest amount.
The primary result is labeled “Net change (%)”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
Enter reductions as negative percentages.
For a related exercise, try the fraction calculator.
A few questions, answered
How can I check the default inputs by hand?
A 20% increase followed by a 20% decrease leaves 96% of the original.
Which rule does this calculator apply?
100 × [(1+p/100)(1+q/100)(1+r/100) − 1]