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URLTO GUIDE

Why reversing a 25% increase requires a 20% decrease

Opposite changes need not have equal percentages. Compare both calculations with their different bases.

URLTO editorial · Updated

Percentage calculations · series05 / 10

Input and processing example

Compare it yourself · Illustrative example

100 → 125: (25 ÷ 100) × 100 = +25%
125 → 100: (−25 ÷ 125) × 100 = −20%

Steps to verify

  • Set the initial value for each direction.
  • Calculate both directions separately.
  • Show the bases in the comparison.

How to interpret the result

The difference is 25 in both directions, but denominators are 100 and 125. Negating the increase rate does not calculate the reverse change.

Deciding what to do next

Apply the same principle to price rises and discounts. Enter the target as the later value to calculate the required decrease.

Feature scope

Calculate portions, final discounted prices and changes in the browser. Change mode requires a positive initial value and does not automatically apply tax, compounding or accounting rules.

Frequently asked questions

Does a 25% discount return 125 to 100?

A 25% discount on 125 yields 93.75. Returning to 100 requires 20%.

Use now Percentage calculations