Percentage Recovery Calculator
Enter the percentage of a loss and calculate how much an investment needs to gain to return to its original value.
How the Calculation Works
When an investment drops X%, the remaining value is (100% − X%) of the original. To return to the original value, the investment must grow Y% relative to the reduced amount.
Where:
- X = Percentage of loss (%)
- Y = Percentage of gain needed for recovery (%)
This relationship is not linear because the percentages are calculated on different bases. That's why the larger the loss, the disproportionately larger the recovery must be.
Full Recovery Table
The table below shows the gain needed to offset losses from 1% to 90%:
| Loss (X%) | Recovery Needed (Y%) | Multiplier |
|---|---|---|
| 5% | 5.3% | 1.05x |
| 10% | 11.1% | 1.11x |
| 15% | 17.6% | 1.18x |
| 20% | 25.0% | 1.25x |
| 25% | 33.3% | 1.33x |
| 30% | 42.9% | 1.43x |
| 35% | 53.8% | 1.54x |
| 40% | 66.7% | 1.67x |
| 45% | 81.8% | 1.82x |
| 50% | 100.0% | 2.00x |
| 55% | 122.2% | 2.22x |
| 60% | 150.0% | 2.50x |
| 65% | 185.7% | 2.86x |
| 70% | 233.3% | 3.33x |
| 75% | 300.0% | 4.00x |
| 80% | 400.0% | 5.00x |
| 85% | 566.7% | 6.67x |
| 90% | 900.0% | 10.00x |
Key insight: A 50% loss requires a 100% gain (the price must double), while a 75% loss requires a 300% gain (the price must quadruple).
Frequently Asked Questions
Why are losses asymmetric?
A 50% loss is not offset by a 50% gain — it requires a 100% gain. This is because the loss is calculated on the higher original price, while the recovery is calculated on the lower current price. The math is inherently asymmetric.
Why is stop-loss important?
Controlling losses is mathematically more important than chasing large gains. A 10% loss only needs an 11.1% recovery, but a 50% loss needs 100%. Keeping losses small makes recovery realistic.
Does diversification help with loss recovery?
Yes. By spreading investments across multiple assets, you reduce the impact of any single large loss. If one asset drops 50%, but it's only 10% of your portfolio, the total portfolio loss is just 5% — which only requires a 5.3% gain to recover.
Should I hold or sell after a big loss?
Use this calculator to see the recovery needed, then evaluate whether the asset's fundamentals support that level of growth. Sometimes reallocating capital to a stronger opportunity is more efficient than waiting for a difficult recovery.