Percentage decrease and the increase needed to recover
After a percentage decrease, the same percentage increase does not restore the original base. A 20% decrease requires a 25% increase on the smaller value.
Percentage decrease and the increase needed to recover
| Decrease (%) | Remaining from 100 | Required increase (%) |
|---|---|---|
| 1 | 99 | 1.0101 |
| 5 | 95 | 5.2632 |
| 10 | 90 | 11.1111 |
| 15 | 85 | 17.6471 |
| 20 | 80 | 25 |
| 25 | 75 | 33.3333 |
| 30 | 70 | 42.8571 |
| 40 | 60 | 66.6667 |
| 50 | 50 | 100 |
| 60 | 40 | 150 |
| 75 | 25 | 300 |
| 90 | 10 | 900 |
Formula & method
recovery% = decrease% / (100 − decrease%) × 100What can change the answer
This table describes arithmetic changes in a positive quantity. A 100% decrease leaves a zero base, so a finite percentage increase cannot restore it. It is not an investment forecast.
Sources & definitions
Method checked:
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