Start with a hypothetical value of 100. A 25% decline leaves 75. It is tempting to assume a 25% rise would restore the original value, but that rise now applies to a smaller starting amount.
Calculate the two steps separately
Twenty-five percent of 75 is 18.75. Adding it gives 93.75, not 100. To regain 25 from a base of 75 requires 25 / 75, or about 33.33%.
This is a simple arithmetic example with no deposits, withdrawals, fees, tax or distributions. It is not a prediction about an investment or an estimate of how long recovery would take.
Identify the base of each statement
When a chart describes a decline and a later gain, ask which value each percentage uses. Two equal-looking percentages can refer to unequal amounts of money.
Do not turn the example into an argument that a particular asset must recover. The arithmetic describes what would be required to reach the earlier value, not whether it will happen.
Write the amounts beside the rates
A short sequence—100, 75, 93.75—makes the relationship visible. Try a 10% decline as a second exercise and calculate the increase needed from 90 to 100.
Our guide to percentage language addresses another common ambiguity. Both exercises begin with the same habit: keep the starting amount attached to every percentage.