Percentage Points vs Percent: Difference, Formula and Examples
Understand percentage points vs percent change with clear formulas and examples. See why a rate rising from 4% to 6% is 2 points higher but a 50% increase.
Published · Updated · By ToolNimbly
Percentage points measure the difference between two percentages. Percent change measures that difference relative to the starting value. If a rate rises from 4% to 6%, it increases by 2 percentage points, which is a 50% relative increase. Both descriptions are correct, but they answer different questions.
This distinction matters when comparing survey results, conversion rates, attendance rates or any other figures already expressed as percentages. Writing only “the rate increased by 2%” would describe a different result.
What Is a Percentage Point?
One percentage point is a difference of one on the percentage scale. Moving from 4% to 5% adds one percentage point; moving from 4% to 6% adds two.
The Office for National Statistics style guide defines a percentage point as the difference between percentages and distinguishes this from a relative percentage change. In a table, you can abbreviate percentage points as pp, provided you explain the abbreviation.
The Two Formulas
When the rates are written as numbers such as 4 and 6, use:
Percentage-point change = new percentage − old percentage
For a positive starting value, calculate relative change with:
Relative percent change = (new value − old value) ÷ old value × 100
The US Bureau of Labor Statistics explains this subtraction-and-division method for calculating percent changes. The denominator is the starting value because that is the baseline against which you measure the movement.
| Rate moves from | Percentage-point change | Relative percent change |
|---|---|---|
| 4% to 6% | +2 pp | +50% |
| 20% to 15% | −5 pp | −25% |
| 20% to 22% | +2 pp | +10% |
| 4% to 0% | −4 pp | −100% |
| 0% to 4% | +4 pp | Undefined |
Example: A Rate Rises from 4% to 6%
Suppose a newsletter's signup rate increases from 4% to 6%. First, subtract the old rate from the new rate:
6 − 4 = 2 percentage points
To find the relative increase, divide that difference by the original rate:
(6 − 4) ÷ 4 × 100 = 50%
With 1,000 visitors in each period, those rates correspond to 40 signups and 60 signups. The extra 20 signups are half of the original 40, which explains the 50% increase. If visitor totals differ, compare the rates separately from the signup counts.
A clear sentence is: “The signup rate rose from 4% to 6%, an increase of 2 percentage points, or 50% relative to the earlier rate.”
Example: A Rate Falls from 20% to 15%
The same distinction applies to decreases:
- Percentage-point change: 15 − 20 = −5 percentage points.
- Relative percent change: (15 − 20) ÷ 20 × 100 = −25%.
You can write “a decrease of 5 percentage points” or “a 25% relative decrease.” Keep the minus sign when showing signed changes in a table; when writing “a decrease of,” use the positive magnitude.
A decrease of 5% from a 20% rate would instead give 20% × 0.95 = 19%. That is why replacing “percentage points” with a percent sign changes the meaning.
Why the Starting Rate Matters
A rise from 4% to 6% and a rise from 20% to 22% both add 2 percentage points. Their relative increases are different: 2 ÷ 4 × 100 = 50%, while 2 ÷ 20 × 100 = 10%.
There is no single conversion factor between percentage points and percent change. You need the starting rate. For a positive starting rate:
Relative percent change = percentage-point change ÷ starting percentage × 100
What If the Starting Rate Is Zero?
A move from 0% to 4% is an increase of 4 percentage points. Its relative percentage change is undefined, because the formula would require division by zero. It is not a 4% relative increase, and it should not be reported as an infinite percentage increase.
Write the endpoints and the percentage-point change instead. The reverse movement, from 4% to 0%, does have a defined relative change: it is a 100% decrease.
Check the Calculation in ToolNimbly
Use the ToolNimbly percentage calculator to check the relative change:
- Select Percentage change.
- Enter 4 as the starting value and 6 as the ending value.
- Read the 50% increase as the relative result.
The accompanying Absolute change is 2. Because you entered percentage values as 4 and 6, that difference represents 2 percentage points. The calculator has no separate percentage-point mode; label the subtraction result correctly when you use it.
For negative starting values, ToolNimbly divides by the absolute value of the start: (new − old) ÷ |old| × 100. State that convention if you report such a comparison. A zero starting value is rejected.
When entering decimal fractions instead, 0.04 to 0.06 still gives a 50% relative increase, but the absolute difference is 0.02. Multiply that fraction by 100 to express it as 2 percentage points.
Put this into practice
Use the Percentage tool for the calculation, then read Compound interest with regular contributions for the supporting explanation.