Percent

Study Sheet

Percent

Per hundred

Percent Means Out of 100

Concept
The Big Idea
25 of 100 parts shaded

“Percent” literally means per hundred, so p%p\% is the fraction p100\dfrac{p}{100}. Finding a percent of a number is just multiplying by that fraction.

Example
Finding 25%25\% of 8080

25100×80=14×80=20\dfrac{25}{100} \times 80 = \dfrac{1}{4} \times 80 = 20.

In Plain Terms & More Examples

Concept
In plain terms

A percent is a fraction out of 100100. To find a percent of a number, turn it into that fraction and multiply.

Example
Finding 10%10\% of 5050

10100×50=110×50=5\dfrac{10}{100} \times 50 = \dfrac{1}{10} \times 50 = 5.

Example
Finding 75%75\% of 4040

75100×40=34×40=30\dfrac{75}{100} \times 40 = \dfrac{3}{4} \times 40 = 30.

Example
A multi-step problem

A $24\$24 shirt is 25%25\% off, and you also have a $2\$2 coupon. Step 1: 25%25\% of 2424 is 66, so the sale price is 24−6=1824 - 6 = 18. Step 2: the coupon brings it to 18−2=$1618 - 2 = \$16.