Percentage Point Calculator

Find the percentage-point difference between two percentages.

Enter the two percentages

%

The original or earlier rate

%

The new or later rate

Try an example

0%100%
Start: 35%End: 42%

Percentage-point change

7 pp

Increase

35% to 42% is a 7 percentage-point increase.

Relative percent change

+20%

Change relative to the starting percentage.

Basis-point change

+700 bps

1 percentage point equals 100 basis points.

Calculation

42% − 35% = +7 percentage points

What Is a Percentage Point?

A percentage point measures the arithmetic difference between two percentages. If a rate rises from 35% to 42%, it increases by 7 percentage points because 42 − 35 = 7.

Percentage points are useful whenever the values being compared are already percentages. You will often see them used for interest rates, survey results, unemployment rates, profit margins, test scores, election polls, and conversion rates.

Percentage Point Formula

Percentage-point change = Ending percentage − Starting percentage

A positive answer means the percentage increased. A negative answer means it decreased. An answer of zero means there was no change.

How to Use the Percentage Point Calculator

  1. Enter the original rate in the Starting percentage field.
  2. Enter the new rate in the Ending percentage field.
  3. Read the main result in percentage points.
  4. Use the secondary results when you also need relative percent change or basis points.

Enter 35 and 42—not 0.35 and 0.42—when you mean 35% and 42%.

Percentage Points vs. Percent Change

These terms describe the same movement from different perspectives, but they are not interchangeable. Percentage points give the direct gap between two rates. Percent change compares that gap with the starting rate.

Measure Formula 35% to 42%
Percentage-point change 42% − 35% 7 percentage points
Relative percent change (42 − 35) ÷ 35 × 100 20% increase
Basis-point change 7 × 100 700 basis points

Saying that 35% rose by 7% would be ambiguous and usually incorrect if you mean the direct difference. The clearest wording is: “The rate rose by 7 percentage points, a 20% relative increase.”

Worked Examples

Example 1: Survey support increases

Support for a proposal rises from 38% to 45%.

45% − 38% = 7 percentage points

The survey result increased by 7 percentage points. Relative to the original 38%, that is an increase of about 18.42%.

Example 2: A conversion rate decreases

A website's conversion rate falls from 12% to 9%.

9% − 12% = −3 percentage points

The conversion rate decreased by 3 percentage points. In relative terms, it fell by 25% because 3 is one quarter of the starting rate of 12.

Example 3: An interest rate changes

An interest rate moves from 4.50% to 5.25%.

5.25% − 4.50% = 0.75 percentage points

The increase is 0.75 percentage points, which is also 75 basis points.

When Should You Use Percentage Points?

Use percentage points when both the starting and ending values are percentages and you want the direct difference between them. This is usually the clearest choice when discussing:

  • Interest rates and central-bank policy rates
  • Survey and election-poll results
  • Unemployment, inflation, or participation rates
  • Profit margins and conversion rates
  • Test scores expressed as percentages
  • Market share and approval ratings

Use relative percent change instead when you need to describe how large the movement is compared with the starting value.

Common Mistakes to Avoid

  • Using the percent-change formula: Subtract the two rates when the question asks for percentage points.
  • Calling percentage points “percent”: A move from 20% to 30% is 10 percentage points, but a 50% relative increase.
  • Ignoring direction: An answer of −4 points means a decrease of 4 percentage points.
  • Entering decimal forms: Enter 8.5 for 8.5%, unless the data itself is written as a decimal ratio.

Frequently Asked Questions

What is the difference between 20% and 25%?

The difference is 5 percentage points. Measured relative to the starting value of 20%, it is a 25% increase.

Can a percentage-point change be negative?

Yes. If a rate moves from 60% to 52%, the signed change is −8 percentage points. This is commonly described as a decrease of 8 percentage points.

What does “pp” mean?

“pp” is a common abbreviation for percentage point or percentage points. It distinguishes percentage-point changes from relative percent changes.

How many basis points are in one percentage point?

One percentage point equals 100 basis points. For example, a change of 0.25 percentage points equals 25 basis points.

What happens when the starting percentage is zero?

The percentage-point difference can still be calculated. For example, moving from 0% to 5% is an increase of 5 percentage points. However, the relative percent change is undefined because calculating it would require division by zero.

Are percentage points the same as percent change?

No. If a rate increases from 20% to 30%, the difference is 10 percentage points. Relative to the original 20%, however, that movement is a 50% increase.

Summary

A percentage point is the direct arithmetic difference between two percentages. Subtract the starting percentage from the ending percentage to find the signed change. Positive values indicate an increase, while negative values indicate a decrease.

Remember that percentage points and percent change are different. A move from 35% to 42% is an increase of 7 percentage points, but it is a 20% increase relative to the starting value.

Related Percentage Calculators

Use these calculators for other ways to compare values and percentages: