Percentage Point Calculator

How to Use

1. Enter Percentage A: The original or reference percentage (e.g. an interest rate of 2%).
2. Enter Percentage B: The new or comparison percentage (e.g. the new rate of 3%).
3. Read the results: See the difference in percentage points and the percentage change from A to B — two very different numbers that are frequently confused.

What You'll Discover

• Difference in percentage points — B − A, shown with a sign and the unit "pp" (for example +1 pp). This is the number to quote when a rate, share or poll figure moves.
• Percentage change (A to B) — how large that move is relative to the starting percentage. A rise from 2% to 3% is +1 pp but a +50% change.
• Direction — Increase, Decrease or No change.

Results update as you type and are rounded to at most six decimal places. If the first percentage is 0, the percentage change is undefined (you cannot divide by zero), but the percentage point difference is still shown.

Formula

Percentage Points (pp)

The simple arithmetic difference between two percentages:

Difference (pp) = B − A

Percentage Change

How much the value changed relative to the starting value:

Percentage change = (B − A) / |A| × 100%

For ordinary positive percentages, |A| is just A. The absolute value only matters for rates that can go below zero, such as some interest rates or growth rates, where it keeps a positive result meaning "went up".

The Classic Example

An interest rate rises from 2% to 3%:

• Percentage points: 3 − 2 = 1 percentage point increase
• Percentage change: (3 − 2) / 2 × 100 = 50% increase in the rate

Both statements are true but describe different things. Politicians and advertisers often exploit this ambiguity: "rates only went up 1%" (pp) sounds smaller, while "rates rose 50%" (percentage change) sounds larger. Knowing which is being used is crucial for accurate interpretation.

Examples

Example 1 — Poll results

A candidate's approval rating rises from 42% to 47%. That is a 5 percentage point increase, but a percentage change of (47 − 42) / 42 × 100 ≈ 11.9%. The headline "approval up 5 points" is clearer than "up 12%" in this context.

Example 2 — Unemployment rate

Unemployment falls from 6.5% to 5.0%. The drop is 1.5 percentage points. The percentage change is (5.0 − 6.5) / 6.5 × 100 ≈ −23.1% — a large relative improvement.

Example 3 — Tax rate change

A tax rate increases from 20% to 25%. That is 5 percentage points higher. As a percentage change: (25 − 20) / 20 × 100 = 25% more tax on the taxable amount.

Percentage Points vs Percent Change: Side-by-Side

The same percentage point move can be a big or small relative change, depending on where it starts. The lower the starting rate, the larger the percentage change for each point.

Every +5 pp row is the same absolute move, yet the percentage change ranges from +6.25% to +50%. That is why a headline can make the same news sound minor or dramatic, depending on which number it chooses.

Converting between the two

To turn a percentage point change into a percentage change, divide it by the starting percentage and multiply by 100: a 5 pp rise from 42% is 5 ÷ 42 × 100 ≈ 11.90%. To go the other way, multiply the starting percentage by the percentage change: a 50% rise in a 2% rate is 2 × 0.5 = 1 pp.

Percentage Points and Basis Points

In finance, small moves in interest rates and yields are often quoted in basis points (bp, sometimes said "bips"). One basis point is one hundredth of a percentage point.

To convert, multiply percentage points by 100 to get basis points, or divide basis points by 100 to get percentage points. Central banks often adjust policy rates in steps of 25 basis points, which is why you hear about "quarter-point" rate moves. The calculator above reports percentage points; multiply its result by 100 for basis points.

Where Percentage Points Are Used (and Misused)

Use percentage points whenever both numbers are already percentages and you want the plain difference between them. Common examples:

• Polls and elections — a candidate's lead, a change in vote share, and a poll's margin of error (for example "±3 percentage points") are all in points.
• Interest and mortgage rates — a rate going from 6% to 6.5% has risen half a percentage point (50 bp).
• Unemployment and inflation rates — monthly changes are usually reported in points.
• Tax rates — a top rate moving from 20% to 25% is 5 points higher.
• Pass rates, conversion rates and market share — any share of a total.

Absolute risk vs relative risk

Health and safety statistics are a frequent source of confusion. If the chance of a side effect goes from 1% to 2%, the risk has risen by 1 percentage point (the absolute risk increase), but it has also doubled, a +100% relative increase. "Doubles your risk" and "adds one percentage point of risk" describe the same data. Reporting both gives the reader the full picture.

The most common writing error is using "%" for a point change. "Unemployment rose 1%" could mean 5.0% to 6.0% (1 pp) or 5.0% to 5.05% (a 1% relative rise). Writing "1 percentage point" removes the ambiguity.

How Many Percentage Points Is It If...

How many percentage points is it if a rate rises from 2% to 3%?

A rise from 2% to 3% is 1 percentage point, which is a 50% increase in the rate. The point difference is 3 − 2 = 1. The relative change is 1 ÷ 2 × 100 = 50%. Both statements are true.

How many percentage points is it if a mortgage rate goes from 4.5% to 5.25%?

From 4.5% to 5.25% is 0.75 percentage points, or 75 basis points. As a relative change, 0.75 ÷ 4.5 × 100 ≈ 16.67%, so your interest rate is about a sixth higher.

How many percentage points is it if approval falls from 48% to 44%?

A fall from 48% to 44% is −4 percentage points. The relative change is −4 ÷ 48 × 100 ≈ −8.33%. Polls normally report the point figure: "approval down 4 points".

How many percentage points is it if a risk goes from 1% to 2%?

From 1% to 2% is just 1 percentage point, but the risk has doubled (+100%). The point change shows the absolute size of the extra risk; the percentage change shows how much larger it is than before. Look for both when reading health or safety news.

How many percentage points is it if a rate is cut from 5.50% to 5.25%?

A cut from 5.50% to 5.25% is −0.25 percentage points, or 25 basis points. The relative change is −0.25 ÷ 5.5 × 100 ≈ −4.55%. This is the "quarter-point cut" often seen in central bank decisions.

How many percentage points is it if a share is halved from 30% to 15%?

From 30% to 15% is −15 percentage points, a −50% change. The share fell by 15 points, which is half of its starting value. When the point change equals half the starting rate, the relative change is always −50%.

How many percentage points is it if a rate goes from 0% to 5%?

From 0% to 5% is 5 percentage points, but the percentage change is undefined. A relative change from zero would mean dividing by zero. The calculator shows "+5 pp" and marks the percentage change as undefined (A = 0).

How many percentage points is it if a tax rate goes from 20% to 25%?

From 20% to 25% is 5 percentage points, and a 25% increase in the rate. 5 ÷ 20 × 100 = 25%. On a fixed taxable amount, the tax owed rises by 25%.

How many percentage points is it if 20% rises by 10%?

A 10% rise in a 20% rate takes it to 22%, which is 2 percentage points. 20 × 1.10 = 22. If you meant the rate rose by 10 points, the new rate would be 30%. This is exactly why "points" and "percent" must be kept apart.

How many percentage points is a poll margin of error of ±3 at 52%?

A margin of ±3 percentage points around 52% gives a range of 49% to 55%. The margin is added and subtracted as points, not as a percentage of 52. A lead smaller than the margin of error may not be a real lead.

People Also Search For

How to calculate percentage points

Subtract the first percentage from the second: B − A. From 42% to 47% is 47 − 42 = 5 percentage points. A negative answer means the percentage went down.

Percentage point vs basis point

One percentage point equals 100 basis points. Basis points are used for small moves in interest rates and bond yields, where a quarter of a point (25 bp) is a meaningful change. 0.5 pp is 50 bp, and 150 bp is 1.5 pp.

How to convert a percentage point change to a percent change

Divide the percentage point change by the starting percentage and multiply by 100. A 1.5 pp fall from 6.5% is −1.5 ÷ 6.5 × 100 ≈ −23.08%. The calculator shows both figures at once.

Is a percentage point the same as a percent?

No: a percentage point is a difference between two percentages, while a percent is a share of a whole or a relative change. From 10% to 12% is 2 percentage points, but it is a 20% increase. Using one in place of the other can make a change look several times bigger or smaller than it is.

How to write percentage points

Write "percentage points" in full, or abbreviate to "pp" or "p.p."; in news writing "points" is common. Avoid the % sign for a difference between two percentages. "Rose 2 percentage points" is clear; "rose 2%" is ambiguous.

What does margin of error in percentage points mean

It means the true value is likely to lie within that many points above or below the reported figure. A result of 45% with a ±3 point margin suggests a range of 42% to 48%. The margin is in points, so it does not scale with the size of the result.

Frequently Asked Questions