What Is a Percentage Point?
A percentage point (pp) is the simple arithmetic difference between two percentages. It is often confused with relative percent change, but the two answer different questions. If an interest rate rises from 4% to 5%, that is a 1 percentage point increase — but a 25% relative increase. Mixing these up is one of the most common mistakes in news reporting and finance.
How to Use This Calculator
Enter the initial percentage (P1) and the final percentage (P2). The calculator instantly returns two values: the percentage point change \((\text{P2} - \text{P1})\) and the relative percent change \((\text{P2} - \text{P1}) / \text{P1} \times 100\). Use percentage points when comparing two rates directly, and relative change when you want to express growth or decline proportionally.
The Formula Explained
The percentage point change is found by subtracting the first percentage from the second: $$\Delta_{pp} = \text{P2 (\%)} - \text{P1 (\%)}$$ The relative change scales that difference against the original value: $$\Delta_{rel} = \frac{\text{P2 (\%)} - \text{P1 (\%)}}{\text{P1 (\%)}} \times 100\%$$ Note that relative change requires P1 to be non-zero.
Worked Example
Suppose a company's market share grew from 40% to 50%. The percentage point change is $$50 - 40 = 10 \text{ percentage points}$$ The relative change is $$\frac{50 - 40}{40} \times 100 = 25\%$$ So you can correctly say "market share rose by 10 percentage points" or "market share grew by 25%."
FAQ
Is a percentage point the same as a percent? No. A percentage point is the raw gap between two percentages, while a percent change is relative to the starting figure.
Can the result be negative? Yes. If P2 is smaller than P1, both the percentage point change and relative change are negative, indicating a decrease.
What if P1 is 0? Relative change is undefined when P1 is zero (division by zero), so the calculator reports 0 in that case while the percentage point change still applies.
