Percentage Point Difference Calculator
Find the difference between two percentages in percentage points and basis points, and the relative percent change.
Your inputs
Results
Difference in percentage points
1 pp
- In basis points
- 100 bp
- Relative change (percent)
- 25%
✓Exact calculation — rounded only for display
What this calculator does
Going from 4 % to 5 % is a rise of 1 percentage point but a 25 % relative increase. Mixing these up is a common source of confusion in news and finance.
Formula and method
Percentage points = b − a; Basis points = (b − a) × 100; Relative change = (b − a) ÷ |a| × 100
Worked example
Calculated by this tool with its default inputs:
Inputs
- First percentage: 4 %
- Second percentage: 5 %
Results
- Difference in percentage points: 1 pp
- In basis points: 100 bp
- Relative change (percent): 25%
How to read the results
Use percentage points for differences between rates and percent for relative change.
Assumptions and limitations
- One basis point is one hundredth of a percentage point.
Questions
When should I use basis points?
In finance, for precise rate changes, e.g. a 25 bp rate cut.
Methodology and verification
- Result type
- Exact mathematical calculation (rounded only for display)
- Formula version
- 1.0
- Automated verification
- 3 reference and validation test cases, checked against independently computed values. The site cannot be built if any of them fail.
- Editorial review
- Awaiting human editorial review. The explanation was drafted with AI assistance; the formula and examples are verified by the automated tests above.
Privacy
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