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Percentage Decrease Calculator

Enter old and new values to calculate the percentage decrease.

—Percentage decrease

Decrease relation with reverse solve

Compare old and new values, separate absolute change from relative percentage, and reverse-solve the new value from a requested rate.

—Relative decrease
—Absolute change
—Multiplier
Ready.

Formula and interpretation

decrease % = (old − new) ÷ |old| × 100.

A 50% decrease needs a 100% increase to return to the starting value.

Worked check

Going from 100 to 80 is a decrease of 20 on a base of 100, so the decrease is 20%. Returning from 80 to 100 requires a 25% increase because the reference base has changed.

Rule: decrease % = (old − new) ÷ |old| × 100. A 50% decrease needs a 100% increase to return to the starting value. For a final check, estimate the expected size of the answer before copying it, keep units consistent, and round only the displayed result rather than intermediate values. Re-enter one simple case by hand when possible; a result with the wrong sign or order of magnitude usually points to an input or reference-base mistake.

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