# 8.3.5 Percentage Points

## Percentage Points

When comparing percentages, the difference between the percentages is described in terms of “percentage points.” Subtracting percentages gives percentage points.

[ A mortgage point is 1% of the amount you borrow for the purchase of your house. It is an additional fee that the bank may collect in return for offering a reduction on the annual percentage rate (APR) of the mortgage—in other words, paying this fee entitles you to a cheaper loan term. ]

Note that this is not the same as the percent increase or decrease. This distinction is something to be aware of in media reports, particularly when interest rates or buying mortgage rate points are discussed.

For example: If 72% of students starting at a community college were placed in a noncredit math course one year, but only 63% the next, the college had a decrease of 9 percentage points in students not being ready for credit math courses.

The next activity illustrates the difference between percentage points and percent change.

## Activity: Student Loans

You took out a private student loan for college fees. You see a headline reading, “Interest rates jump 2%.” Should you be worried?

### Comment

Most people read this headline to mean that the interest rate on the loan increases by 2 percentage points. What would that mean for you?

Is there another way to think about the headline that isn’t as sensational?

The headline is ambiguous. It could mean “Interest rates increase by 2 percentage points”—for example, from 10% to 12%. This is a big deal. Your interest rate just went up 20%: .

On the other hand, the headline could mean “Interest rates increase by 2% based on your previous interest rate.” In our example, that would mean rates go up from 10% to of

Well, OK, not great news, but hopefully manageable and much better than our first interpretation.

When people mean percentage points, they should say so! Unfortunately, many news articles do not. It’s up to you to find out from the article itself what it is about.

In newspapers and magazines, you will often run into articles that contain percentages. The exercise below illustrates the importance of interpreting this information correctly.

## Activity: Percentage Points

A newspaper headline reads “Exam pass rate increases from 50% last year to 75% this year.”

Does this mean that the pass rate has increased by 25%? Explain why or why not.

### Comment

Did you convert the percentages to their decimal values before using the percent increase formula?