WORKED EXAMPLES

Real problems, solved step by step.

A $89.99 jacket is 30% off. What do you pay?

Savings: 89.99 × 0.30 = 27.00
Price: 89.99 − 27.00 = 62.99

$62.99

You scored 42 out of 60 on a test. What percent is that?

42 ÷ 60 = 0.7
0.7 × 100 = 70

70%

Rent went from $1,400 to $1,550. What is the increase?

1,550 − 1,400 = 150
150 ÷ 1,400 × 100 = 10.71

10.71% increase

A $64.50 dinner bill with an 18% tip, split by two?

Tip: 64.50 × 0.18 = 11.61
Total: 76.11 ÷ 2 = 38.06

$38.06 each

QUICK REFERENCE

Common percentages as fractions and decimals.

PercentFractionDecimalOf 100
5%1/200.055
10%1/100.110
12.5%1/80.12512.5
20%1/50.220
25%1/40.2525
33.33%1/30.333333.33
50%1/20.550
66.67%2/30.666766.67
75%3/40.7575
100%1/11100