Percentage Points Calculator

Last updated: November 14, 2026

Direct answer. Change in percentage points = New percentage − Starting percentage. A move from 8% to 10% is 2 percentage points. The relative change of the rate is (2 ÷ 8) × 100 = 25%.

Interest rates, unemployment figures, tax rates, and poll shares are already percentages. The gap between two of them is measured in percentage points, which is just subtraction. The relative percent change of the rate is a different number. This calculator reports both so the two languages stay distinct.

How to use this calculator

• Enter the starting percentage.
• Enter the ending percentage.
• Read the change in percentage points and, when it is defined, the relative change of the rate.

The formula

Both inputs are already percents. The point change is unitless in the sense that it is a difference of percent levels. The relative change is itself a percent of the starting rate.

Worked examples

When this is useful in the United States

U.S. news stories sometimes say a Fed funds target “rose 0.25 percentage points” and, in the same breath, call it a 25-basis-point move. Those are point language, not a 0.25% relative change of the rate.

A sales tax that goes from 7% to 8% is a 1 percentage-point increase. Calling it a 1% increase would understate the relative change, which is about 14.3%.

Teachers comparing proficiency rates across years should say “up 3 percentage points” when they subtracted two percents.

Common mistakes

• Calling an 8% to 10% move a 2% increase. It is 2 percentage points, or 25% relative.
• Dividing the new rate by the old rate and reporting that as points.
• Starting at 0% and asking for a relative percent change. That relative figure is undefined.

Basis points are a finer version of the same idea: 100 basis points equal 1 percentage point. This calculator stays in percentage points and, separately, in a relative percent of the starting rate. It does not annualize a rate, convert an APR to APY, or treat a change in a dollar amount. For a dollar change, use the percentage increase or change tools instead. Writers in the United States often shorten “percentage points” to “points,” which can be confused with basis points or with a grade of 90 points on a test. A basis point is one one-hundredth of a percentage point, so 25 basis points equal 0.25 percentage points. This calculator stays in percentage points and, separately, in a relative percent of the starting rate. It will not convert a change in a unemployment rate, a tax rate, or a poll share into a headcount or a dollar amount. If you have two dollar values rather than two percentages, use the percentage change tools instead of subtracting “points.” When you quote a result, say “percentage points” or “relative percent change of the rate,” not just “percent,” so a reader can tell which figure you mean. A move from 2% to 3% is 1 percentage point and a 50% relative change; those two sentences are both true and not interchangeable. Read the result units carefully before you copy them into a spreadsheet, a syllabus, or a checkout estimate. The calculator shows the working so you can compare each step with a hand calculation. If a result looks off, confirm that every input uses the unit labeled on the field, then use Reset and try the built-in example. This page does not invent official rates, cutoffs, or statistics, and it does not store the numbers you type.

Frequently asked questions

• Percentage increase calculator
• Percentage change calculator
• Percentage increase vs. percentage points
• Sales tax calculator