Percentages vs. Percentage Points

Why a rise from 4 percent to 5 percent is a one percentage point increase but a 25 percent increase, and how to tell which one a speaker means.

Almost every piece of economic news contains a percentage, and many contain two different kinds of change hiding inside the same sentence. A percentage point is the simple, absolute change between two percentages - you subtract one from the other. A percentage change, used to describe how much something grew or shrank, is a relative change - it tells you how big the change is compared with where you started. Mixing these up is one of the most common ways listeners misunderstand the news.

The same move, described two ways

Imagine an interest rate that goes from 4 percent to 5 percent. Subtract the two and you get 1, so the rate rose by one percentage point. But compared with the starting level of 4, a rise of 1 is one quarter of the original, so the rate also rose by 25 percent. Both statements are true. They simply answer different questions: “How far did the number move?” versus “How big is that move compared with where it began?”

When you are listening rather than reading, the words themselves are your only clue. Listen for the word “points.” A careful reporter will say “unemployment rose by half a percentage point” when they mean the rate went from, say, 6 percent to 6 and a half percent. If they instead say “unemployment rose by half a percent,” they may mean something quite different, or they may simply be speaking loosely.

Hearing a loan rate change

Suppose a bank raises its loan rate from 8 percent to 10 percent. Said in percentage points, that is a rise of 2 points - which sounds small. Said as a relative change, 2 divided by 8 is one quarter, so the rate is 25 percent higher than before - which sounds much bigger. On a loan of 10,000 rupees, yearly interest goes from about 800 rupees to about 1,000 rupees. Both descriptions point to the same extra 200 rupees; they just frame it differently.

Why the difference matters so much with small numbers

The gap between the two ways of speaking grows dramatically when the starting number is small. If a rare risk goes from 1 percent to 2 percent, that is a rise of just one percentage point, but in relative terms the risk has doubled - a 100 percent increase. Headlines that want to sound alarming often choose the relative version; headlines that want to sound reassuring often choose the percentage point version. Neither is lying, but each one on its own can leave a misleading impression.

A helpful habit is to ask for, or work out, both numbers. When you hear “a 50 percent jump,” silently ask, “Fifty percent of what?” When you hear “just two points,” ask, “Two points out of how many?”

A quick mental method

To turn a percentage point change into a relative change in your head, divide the change by the starting value. From 10 percent to 12 percent is 2 points; 2 divided by 10 is one fifth, or 20 percent. From 20 percent to 22 percent is also 2 points, but 2 divided by 20 is only one tenth, or 10 percent. The same point change means a smaller relative change when the starting number is larger.

Treating "percent" and "percentage points" as the same thing

A common mistake is hearing "the tax rate rose 5 percent" and assuming a 20 percent rate became 25 percent. That would be a rise of 5 percentage points. A 5 percent rise on a 20 percent rate would only take it to 21 percent. Always pause to ask which kind of change the speaker means before judging how big it is.

Key takeaways

A percentage point change is the simple difference between two percentages.
A percentage change compares the size of the move with the starting value.
From 4 percent to 5 percent is one percentage point, but a 25 percent increase.
With small starting numbers, relative changes can sound dramatic even when the absolute change is tiny.
Listen for the word "points," and when in doubt, ask "percent of what?"