LearnMiddle School MathRatios and percents

Percent increase and decrease

Each percent change becomes one multiplication.

Lesson 3 of 3

Middle School Math: Ratios and percents

Percent change always compares against where you started. If rent goes from $800 to $1000, the change is $200 and the original is 800, so that's 25%.

There's a shortcut for finding a new price. A 20% discount leaves you with 80% of the price, so multiply by . A 6% tax leaves you with 106%, so multiply by .

Work through it

A $60 jacket is 25% off. What's the sale price?

25% off leaves 75%.multiplier

Multiply.

A price rises from $40 to $52. What's the percent increase?

Find the change.

Divide by the original.

Write as percent.

A $100 item goes up 10%, then down 10%. Is it back to $100?

Up first.

Down from the new price.

The two percents have different bases.no, it's $99

Watch out for this

Dividing by the new number. Going from 40 to 52 becomes .

Always divide by the original. The question is how much it changed compared with where it started.

The short version
Percent change is the change divided by the original. A 20% increase multiplies by 1.20, and a 20% decrease multiplies by 0.80.

Your turn

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