Percent vs Percentage Points: Why News Headlines Get This Wrong

You are scrolling a news app at 11pm. The RBI just raised the repo rate from 6.5\% to 7.5\%. One headline says "RBI hikes rate by 1\%." Another headline says "RBI hikes rate by 1 percentage point." A third says "RBI hikes rate by 15.4\%."

All three are describing the same event. Only one of them is phrased correctly.

The confusion between percent and percentage point is one of the most common — and most consequential — language traps in quantitative reporting. When a number is itself a percentage (like an interest rate, an unemployment figure, or a tax slab), there are two different ways to describe a change in it, and they give very different answers. Once you can spot the difference, a whole class of news confusion dissolves.

The two kinds of change

Start with a clean example. A bank's interest rate was 6\% last year. This year it is 9\%. How do you describe the change?

In percentage points (p.p.): the rate went up by 9 - 6 = 3 percentage points. This is the simple subtraction. The unit "percentage point" just means "one of the unit-hundredths that the original rate was measured in."
In percent (%): the rate went up by \dfrac{9 - 6}{6} \times 100 = 50\%. This is the percentage of the old rate that the change represents. The rate is now 50\% bigger than it used to be.

Same change. Two different numbers. Three percentage points, or fifty percent — both correct, both saying the same thing in different units.

Why two answers: one measures the absolute change (how many hundredths did the number move by?), the other measures the relative change (how big is that move compared to where we started?). Both are legitimate — but they are not interchangeable, and the gap between them grows fast for small starting values.

A bar that makes it physical

Drag the red point to set a new interest rate. The old rate is fixed at $6\%$ (the grey dashed line). The top readout shows the change in **percentage points** (simple subtraction). The bottom readout shows the change in **percent** (the subtraction divided by the old rate, times $100$). Notice: at the new rate $9\%$, the change is $3$ p.p. but $50\%$. At the new rate $12\%$, the change is $6$ p.p. but $100\%$. The two numbers drift further apart as the rate moves further from the old value.

Why news articles get this wrong

The rule is clean: when the quantity is itself a percentage, you need a separate word ("percentage point") for absolute change, so that "percent" can continue to mean relative change. Journalists — and sometimes even economists — drop the distinction because "one percent" is easier to say than "one percentage point."

Look at the three headlines from the top of this article.

"RBI hikes rate by 1\%." Read literally, this means the new rate is 1\% bigger than the old rate — i.e., 6.5 \times 1.01 = 6.565\%. That is wrong. The actual new rate is 7.5\%.
"RBI hikes rate by 1 percentage point." Correct. 7.5 - 6.5 = 1 p.p.
"RBI hikes rate by 15.4\%." Also correct, but measuring the relative change: \dfrac{7.5 - 6.5}{6.5} \times 100 \approx 15.4\%. The rate is about 15\% bigger than it used to be.

Most rate-change news actually means the middle form (the absolute change), but uses the language of the first (the relative change). The result is that readers who take the words at face value end up computing answers that are off by a huge factor.

Where it really bites: unemployment and poll numbers

The cost of the confusion grows as the underlying percentage shrinks. Consider unemployment.

If the unemployment rate goes from 4\% to 5\%:

The change is 1 percentage point.
The change is \dfrac{1}{4} \times 100 = 25\%.

A headline that says "unemployment up 1\%" sounds mild. A headline that says "unemployment up 25\%" sounds alarming. Both describe exactly the same event. The first is imprecise language; the second is honest but often feels exaggerated to a reader who is used to seeing small numbers.

The same thing happens with political polling. If a party's vote share moves from 30\% to 33\%, that is 3 percentage points of movement — but a 10\% relative gain. A party that goes from 2\% to 4\% has doubled in support — a 100\% relative gain — but moved only 2 percentage points on the poll.

Every time you see a small change in a small number, ask: what's the base? Because the percentage change against a small base can be enormous, while the percentage-point change stays tiny.

The mental rule

Here is the rule, short enough to tattoo.

If the quantity is already a percentage (interest rate, unemployment, tax rate, vote share, batting average expressed as a percentage), changes should usually be described in percentage points when you want the absolute move.
If you want the relative size of the move compared to where you started, use percent, computed as \dfrac{\text{new} - \text{old}}{\text{old}} \times 100.
Never say "the rate went up 1\%" if you mean "1 percentage point" — it is technically wrong and the gap between the two interpretations can be a factor of 10 or more.

The classic trap

The unemployment rate in a city was 2\%. After a layoff wave, it is now 3\%.

Absolute change: 3 - 2 = 1 percentage point.
Relative change: \dfrac{1}{2} \times 100 = 50\%.

A local paper writes "Unemployment up by 1\%." A national magazine writes "Unemployment up by 50\%." Both are reporting the same event. Only one of the two phrasings is numerically precise, and it happens to be the dramatic-sounding one — because the base was small. A reader who trusts the local paper's language literally would think the unemployment rate is now 2.02\%, not 3\%.

Cross-check whenever a rate changes

Whenever you read about a change in a rate — interest, unemployment, tax slabs, inflation, vote share — do this three-step check:

Identify the old value and the new value in their natural units. If you only have one of the two and a claimed change, recover the other.
Compute both the absolute change (in p.p.) and the relative change (in \%) yourself.
Ask which one the headline is using. If the numbers don't match either, someone has made an error — or the headline is sloppy enough to be describing a different period, a different region, or a different segment.

This is the same habit as always asking "percent of what?" (see A 200% Increase Means Doubling — Right? (No.)). The base matters. The units matter. And when the quantity is itself a percentage, the words "percent" and "percentage point" are not synonyms.