What is the difference between percentage points and percent change?
Percentage points measure the simple arithmetic difference between two percentages by subtracting the original rate from the new rate (New % − Original %). Percent change (or relative percentage change) measures how large that change is relative to the starting value (((New − Original) ÷ |Original|) × 100). For example, if an interest rate moves from 4% to 5%, it has increased by 1 percentage point, which is a 25% relative increase ((5 − 4) ÷ 4 × 100 = 25%).
You can test relative increases, decreases, and proportions directly in the Percentage Calculator, or go straight to the Percentage Increase Calculator and Percentage Decrease Calculator.
Side-by-side comparison: percentage points vs. percent change
Statistical agencies including the U.S. Bureau of Labor Statistics (BLS) Current Population Survey Concepts and BLS Unemployment Measurement Guide distinguish strictly between rate differences and relative percentage changes because mixing them up distorts financial, medical, and economic data.
| Feature | Percentage points (absolute difference) | Percent change (relative change) |
|---|---|---|
| What it compares | Two values that are already percentages | Any two numbers or rates against the starting baseline |
| Formula | New Rate (%) − Old Rate (%) | ((New Value − Old Value) ÷ |Old Value|) × 100 |
| Illustrative increase (10% to 15%) | +5 percentage points | +50% increase (5 ÷ 10 × 100) |
| Illustrative decrease (15% to 10%) | −5 percentage points | −33.33% decrease (−5 ÷ 15 × 100) |
| Symmetrical when reversed? | Yes (+5 pp and −5 pp are equal in size) | No (baseline changes when reversing direction) |
| When to use it | Interest rates, tax rates, unemployment, survey shares | Prices, salaries, headcount, relative growth rates |
Worked examples in everyday decisions
Example 1: Mortgage and savings interest rates (Basis points)
Suppose a central bank raises a benchmark rate from 4.00% to 4.50%.
Percentage-point change: 4.50% − 4.00% = +0.50 percentage points. In banking and bond markets, one percentage point is divided into 100 basis points (bps), so a 0.50-percentage-point rise is also called a 50-basis-point increase.
Relative percent change: (0.50 ÷ 4.00) × 100 = +12.5%. If a headline claims "interest rates jumped 12.5%," a casual reader might think the rate moved from 4% to 16.5%. Stating that the rate rose by 0.5 percentage points to 4.5% removes all ambiguity. If you are checking how a rate change alters monthly housing payments, test the new rate in the Mortgage Calculator or Loan Calculator.
Example 2: Survey results and market share
Suppose an annual commuter survey shows the share of employees working remotely rose from 8% last year to 12% this year.
Percentage-point change: 12% − 8% = +4 percentage points.
Relative percent change: ((12 − 8) ÷ 8) × 100 = +50%. Both figures are mathematically correct, but reporting both together—"remote work rose by 4 percentage points (a 50% relative increase, from 8% to 12%)"—prevents readers from overestimating a small baseline or underestimating the pace of change.
Why percentage increases and decreases do not cancel out
Relative percentage change is asymmetrical because the denominator changes whenever the starting value changes. Percentage-point changes, by contrast, are symmetrical.
Percentage points: Moving from 20% to 30% is +10 percentage points. Moving back from 30% to 20% is −10 percentage points.
Relative percent change: Moving from $100 to $150 is a 50% increase ((150 − 100) ÷ 100 × 100 = 50%). Moving back from $150 to $100 is a 33.33% decrease ((100 − 150) ÷ 150 × 100 = −33.33%), because the decrease is divided by the new baseline of 150, not 100.
Similarly, if an investment drops by 20% from $1,000 to $800 and then rises by 20% the next month, it does not return to $1,000. A 20% gain on $800 adds $160, leaving $960. It takes a 25% increase (200 ÷ 800 × 100) to recover from a 20% loss.
How to spot misleading percentage claims
When reviewing product discounts, financial news, or health statistics, apply three verification rules:
Check the baseline when a relative percentage looks huge: A rise from 0.5% to 1.0% is a 100% relative increase, yet the absolute change is only 0.5 percentage points. Always ask for the starting and ending numbers.
Never add sequential percent changes across different baselines: A 10% price increase followed by another 10% price increase is a 21% total increase (1.10 × 1.10 = 1.21), not 20%.
Verify that the denominator is not zero: Relative percentage change cannot be calculated when the starting value is zero (0%), because dividing by zero is undefined. You can still state the change in percentage points (for example, from 0% to 3% is +3 percentage points).