Going from 50 to 75 is a 50% increase, but going back from 75 to 50 is a -33.3% change: the base is different.
| From ↓ / To → | 10 | 20 | 25 | 40 | 50 | 60 | 75 | 80 | 100 | 150 | 200 |
|---|---|---|---|---|---|---|---|---|---|---|---|
| 10 | 0.0% | 100.0% | 150.0% | 300.0% | 400.0% | 500.0% | 650.0% | 700.0% | 900.0% | 1,400.0% | 1,900.0% |
| 20 | -50.0% | 0.0% | 25.0% | 100.0% | 150.0% | 200.0% | 275.0% | 300.0% | 400.0% | 650.0% | 900.0% |
| 25 | -60.0% | -20.0% | 0.0% | 60.0% | 100.0% | 140.0% | 200.0% | 220.0% | 300.0% | 500.0% | 700.0% |
| 40 | -75.0% | -50.0% | -37.5% | 0.0% | 25.0% | 50.0% | 87.5% | 100.0% | 150.0% | 275.0% | 400.0% |
| 50 | -80.0% | -60.0% | -50.0% | -20.0% | 0.0% | 20.0% | 50.0% | 60.0% | 100.0% | 200.0% | 300.0% |
| 60 | -83.3% | -66.7% | -58.3% | -33.3% | -16.7% | 0.0% | 25.0% | 33.3% | 66.7% | 150.0% | 233.3% |
| 75 | -86.7% | -73.3% | -66.7% | -46.7% | -33.3% | -20.0% | 0.0% | 6.7% | 33.3% | 100.0% | 166.7% |
| 80 | -87.5% | -75.0% | -68.8% | -50.0% | -37.5% | -25.0% | -6.3% | 0.0% | 25.0% | 87.5% | 150.0% |
| 100 | -90.0% | -80.0% | -75.0% | -60.0% | -50.0% | -40.0% | -25.0% | -20.0% | 0.0% | 50.0% | 100.0% |
| 150 | -93.3% | -86.7% | -83.3% | -73.3% | -66.7% | -60.0% | -50.0% | -46.7% | -33.3% | 0.0% | 33.3% |
| 200 | -95.0% | -90.0% | -87.5% | -80.0% | -75.0% | -70.0% | -62.5% | -60.0% | -50.0% | -25.0% | 0.0% |
How it is computed
Percent change = (new − old) ÷ old × 100. Rows are the starting value, columns the ending value. A positive result is an increase, a negative one a decrease; the diagonal is 0%.
FAQ
Why isn't a 50% rise undone by a 50% drop?+
Each percentage applies to a different base. 100 up 50% is 150, and 150 down 50% is 75. Undoing a 50% rise takes a 33.3% drop.
What is the difference between percent change and percentage points?+
A rate going from 4% to 5% rises by 1 percentage point, which is a 25% increase in the rate itself.