Percentage Points Calculator
Calculate the percentage-point change between two rates and compare it with the relative percent change and basis-point change. The results update instantly and keep these often-confused measurements separate.
Find the change between two percentages
Enter the old rate and new rate. A positive result is an increase; a negative result is a decrease.
Percentage-point change = 5 - 4 = +1 point
Relative change = (5 - 4) / 4 x 100 = +25%
Basis points = 1 x 100 = +100 bpsA move from 4% to 5% is an increase of 1 percentage point, but a 25% relative increase. Both are correct because they answer different questions.
Add or subtract percentage points from a rate
Use a positive point adjustment to increase a rate or a negative adjustment to decrease it.
New rate = 4 + 1 = 5%
Relative change = 1 / 4 x 100 = +25%
Basis points = 1 x 100 = +100 bpsThe adjustment is added directly to the starting percentage. Negative rates and negative adjustments are accepted.
A percentage point measures the arithmetic difference between two percentages. If a rate moves from 4% to 5%, subtract 4 from 5. The answer is a rise of 1 percentage point. Relative percent change instead compares that 1-point rise with the original 4%, giving a 25% increase.
Percentage-point formula
Percentage-point change = New percentage - Old percentage
The sign supplies the direction. A positive result means the rate increased, a negative result means it decreased, and zero means there was no change.
Example: 4% to 5%
5 - 4 = +1 percentage point
The same movement is a 25% relative increase because (5 - 4) / 4 x 100 = 25%.
Percentage points vs percent change
Percentage points and percent change describe the same movement from different reference frames. Percentage points show the direct gap on the percentage scale. Percent change measures that gap relative to the starting value.
| Measure | Formula | 4% to 5% |
|---|---|---|
| Percentage-point change | New - Old | +1 percentage point |
| Relative percent change | (New - Old) / Old x 100 | +25% |
| Basis-point change | (New - Old) x 100 | +100 bps |
Important: relative percent change is not defined when the old rate is zero because division by zero is impossible. The percentage-point and basis-point changes can still be calculated.
Worked percentage-point examples
20% to 30%
The rate rises by 10 percentage points. Relative to the original 20%, that is a 50% increase. It is also a change of 1,000 basis points.
5% to 4%
The rate falls by 1 percentage point. Relative to the original 5%, that is a 20% decrease. It is also a change of -100 basis points.
42.5% to 44%
The rate rises by 1.5 percentage points. The relative increase is about 3.53%, and the movement equals 150 basis points.
Percentage points vs basis points
One percentage point equals 100 basis points, and one basis point equals 0.01 percentage points. Basis points are useful when small movements need to be stated precisely, especially for interest rates and financial data.
Basis points = Percentage points x 100Percentage points = Basis points / 100
For direct conversions, rate adjustments and simple annual amount estimates, use the Basis Points Calculator.
Percentage points vs percentage difference
Use percentage-point change when both values are percentages on the same scale and one is the old or baseline rate. Relative percent change also uses an old value as the baseline. Percentage difference is normally used when neither value is the baseline and measures their absolute gap relative to their average.
Percentage difference = |A - B| / ((A + B) / 2) x 100
Use the Percentage Increase Calculator when you need relative change from an old value, or the Percentage Difference Calculator for a symmetric comparison.
Where percentage points are used
Percentage points abbreviation and writing
Percentage points are often abbreviated as pp or p.p. Basis points are abbreviated as bp for one basis point and bps in many plural uses. In formal prose, writing out “percentage point” or “percentage points” is usually clearest.
Use the singular for exactly 1 percentage point and the plural for other values. For example: “The rate increased by 1 percentage point” and “The rate decreased by 0.5 percentage points.”
Percentage points calculator FAQs
How do you calculate percentage points?
Subtract the old percentage from the new percentage. If a rate changes from 12% to 15%, the change is 15 - 12 = +3 percentage points.
What is the difference between percentage points and percent?
Percentage points show the direct arithmetic gap between percentages. Percent change divides that gap by the old rate. A move from 4% to 5% is 1 percentage point but a 25% relative increase.
How many percentage points is a 10% increase?
There is no single answer without the starting rate. A 10% relative increase on 20% adds 2 percentage points, producing 22%. A 10% relative increase on 50% adds 5 percentage points, producing 55%.
What is 1 percentage point as a percent?
One percentage point is the direct gap between two rates, such as 4% and 5%. Its relative percent value depends on the starting rate: 1 point relative to 4% is 25%, while 1 point relative to 20% is 5%.
How many basis points are in one percentage point?
There are 100 basis points in 1 percentage point. A movement of 0.25 percentage points equals 25 basis points.
Can percentage-point change be negative?
Yes. A fall from 8% to 6.5% is a change of -1.5 percentage points. The negative sign shows that the rate decreased.
What happens when the old rate is zero?
You can still calculate the percentage-point and basis-point changes. Relative percent change is undefined because its formula would divide by the old rate of zero.