Key distinction
If a rate moves from 5% to 8%, it has increased by 3 percentage points - but by 60 percent. These are both correct and refer to different things: pp measures the arithmetic gap; percent change measures the relative shift.
How to use our percentage point calculator
Enter the first percentage (A) and the second percentage (B). The calculator returns the percentage point difference (A − B), the equivalent percent change, and a step-by-step breakdown.
The first percentage is the later or higher value (the result). The second percentage is the earlier or reference value (the starting point). If the order does not matter for your use case, the sign of the percentage point difference will tell you the direction.
Percentage point is also often called pp. On this page, we will also use "pp", which therefore simply means percentage point.
Explained to a beginner
Imagine 20 out of 100 students passed an exam last year (20%). This year, 25 passed (25%). The pass rate went up by 5 percentage points - because 25 minus 20 is 5. But the number of passing students rose by 25% relative to last year, because you gained 5 students on top of 20, which is 5/20 = 25% more.
Both numbers describe the same event. Percentage points count the gap between two percentages directly, like reading a ruler. Percentage change asks "how big is the jump relative to where you started?" - it puts the gap in proportion to the starting value. The two give very different numbers for the same move, which is why getting the label right matters.
Percentage point formula
A percentage point difference is simply the arithmetic subtraction of two percentages:
$$\text{Percentage Point Difference} = A\% - B\%$$
To also express the same change as a relative percent change:
$$\text{Equivalent Percent Change} = \frac{A - B}{|B|} \times 100$$
The denominator uses the absolute value of B to handle cases where the reference value is negative (e.g. a country with negative inflation).
Percentage points vs percent change
This distinction is one of the most commonly misrepresented statistics in financial and political reporting, in my personal opinion.
| Concept | Formula | What it measures | Example (5% → 8%) |
|---|---|---|---|
| Percentage point difference | A − B | Arithmetic gap between two percentages | +3 pp |
| Percent change | (A − B) / |B| × 100 | Relative change from B to A | +60% |
Both statements are accurate for the same data. A central bank raising its rate from 5% to 8% has raised it by 3 percentage points in absolute terms - and 60 percent in relative terms (the rate itself increased by 60% of its original value). Context determines which framing is more meaningful.
In most policy and journalism contexts, percentage points is the appropriate unit for reporting changes in rates, shares, and proportions. Saying "the tax rate rose by 5%" when it moved from 20% to 25% is technically ambiguous - "5 percentage points" is precise and unambiguous.
When I review financial news coverage, the pp/percent conflation appears constantly - headlines saying an approval rating "rose 5%" when the underlying data shows a 5 pp move from 42% to 47%. A true 5% relative rise from 42% would only reach 44.1%.
The conflation feels most misleading at high base rates, where pp and relative percent diverge the most.
Worked examples for calculating percentage point
Example 1: interest rate rise
A central bank raises its benchmark rate from 5% to 8%.
$$8\% - 5\% = +3 \text{ pp}$$
The rate rose by 3 percentage points. In relative terms:
$$\frac{8 - 5}{|5|} \times 100 = +60\%$$
The rate increased by 60% of its original value. Both are valid - pp for the absolute shift, % for the proportional change.
Example 2: opinion poll swing
A party's vote share rises from 32% to 38% between two polls.
$$38\% - 32\% = +6 \text{ pp}$$
The party gained 6 percentage points. Saying "they gained 6%" would be ambiguous (it could mean their vote share became 32% × 1.06 = 33.9%, not 38%).
Example 3: central bank fine-tuning
The ECB raises rates from 4.25% to 4.50%.
$$4.50\% - 4.25\% = +0.25 \text{ pp} = 25 \text{ basis points}$$
A 0.25 pp increase is the same as a 25 basis point hike - the standard unit in bond markets and central banking.
The table below shows various percentages expressed in pp change and percent change for easier understanding.
| From (%) | To (%) | pp change | % change |
|---|---|---|---|
| 5 | 8 | +3 pp | +60% |
| 32 | 38 | +6 pp | +18.75% |
| 20 | 25 | +5 pp | +25% |
| 4.25 | 4.50 | +0.25 pp | +5.88% |
| 10 | 7 | −3 pp | −30% |
| 50 | 45 | −5 pp | −10% |
Basis points and percentage points
In fixed income, foreign exchange, and monetary policy, very small rate changes are expressed in basis points (bp) rather than percentage points to avoid writing many decimal places and to eliminate ambiguity:
| Unit | In pp | In decimal | Common use |
|---|---|---|---|
| 1 basis point (1 bp) | 0.01 pp | 0.0001 | Interest rates, bond yields, spreads |
| 25 bp | 0.25 pp | 0.0025 | Typical central bank rate increment |
| 50 bp | 0.50 pp | 0.0050 | "Double hike" increment |
| 100 bp | 1.00 pp | 0.0100 | 1 percentage point |
When a commentator says "the Fed hiked by 75 basis points," they mean the rate rose by 0.75 percentage points - from, say, 5.25% to 6.00%.
See our FAQ about what is a basis point?
When to say "percentage points"
Use percentage points (pp) when:
- Both values are already percentages (rates, shares, proportions, yields)
- You want to express the absolute arithmetic gap between them
- Precision matters and "percent" would be ambiguous (political polling, medical statistics, financial rates)
Use percent change when:
- You want to express how much one percentage grew or fell relative to its prior value
- Context is about proportional or multiplicative scaling
In healthcare statistics, for instance: "the survival rate improved from 60% to 66%" is a 6 pp improvement, but a 10% increase in the survival rate. The pp framing is typically more informative and harder to misinterpret.
Common mistakes when looking at percentage point
Saying "percent" when you mean "percentage points"
The most frequent error: "unemployment fell 2%" when unemployment went from 7% to 5% - it fell 2 percentage points. Using "percent" here implies the rate fell from 7% to 7% × 0.98 = 6.86%, which is different. The word "percent" signals a relative change; "percentage points" signals an absolute one.
Confusing basis points with percentage points
1 basis point = 0.01 percentage points. A 50 bp cut and a 50 pp cut are vastly different: the former is a small 0.50 pp policy adjustment; the latter would be an extreme move that barely occurs in any real-world rate.
Double-counting percentage stacks
A 5 pp increase followed by a 3 pp decrease results in a net +2 pp change - not a +2% change in the additive sense. When combining successive percentage point changes, sum them arithmetically.
In clinical research I've seen survival rate improvements framed both ways for different audiences - percentage points for regulators, percent change for press releases.
A drug that improves a 50% survival rate to 55% delivers a 5 pp improvement, but a "10% improvement in survival" in the press release. Neither framing is wrong, but at high base rates the percent-change number always sounds more impressive, which is worth keeping in mind when reading headlines.
FAQs to better understand percentage point (pp)
What is a percentage point?
A percentage point is the unit of arithmetic difference between two percentages. If a rate rises from 5% to 8%, it rose by 3 percentage points (not "3 percent").
What is the difference between percentage points and percent change?
Percentage points (pp) = A − B. Percent change = (A − B) / |B| × 100. The same move from 5% to 8% is both +3 pp and +60%. They measure different things: absolute gap vs. relative change.
What is a basis point?
1 basis point = 0.01 percentage points = 0.0001 in decimal. Central banks use basis points for interest rate adjustments (e.g. "25 bp hike" = 0.25 pp increase).
Can percentage point difference be negative?
Yes. If A is less than B, the pp difference is negative - indicating a decrease. For example, 5% − 8% = −3 pp.
When should I say "percentage points" instead of "percent"?
When both values are already percentages and you are describing their arithmetic difference. "Unemployment fell 2 percentage points" (from 7% to 5%) is precise. "Fell 2 percent" is ambiguous - it could mean a relative 2% fall from 7%, which would be 6.86%, not 5%.
What does pp mean in percentage?
"pp" is the standard abbreviation for percentage point - the arithmetic difference between two percentages. If an interest rate rises from 3% to 5%, it has gone up by 2 pp. The abbreviation is widely used in economics, finance, and statistics to distinguish the absolute gap between two percentage values from a relative percent change.
Quiz: how well do you know percentage points?
1. What does 'pp' stand for in financial and economic reporting?
2. A central bank raises its rate from 5% to 8%. What is the equivalent percent change - the rate's rise relative to its original value?
3. A party's vote share rises from 32% to 38%. Why is '6 percentage points' more precise than saying '6 percent'?
4. From the basis points table, how many basis points equal one full percentage point?
5. Unemployment falls from 7% to 5%. A headline reads 'unemployment fell 2%'. What does this ambiguous phrasing incorrectly imply?