&KDSWHU
7-1
Key Concept
Percent
A is a ratio or comparison of a quantity to 100.
n%
nper hundred or nto 100
n
100
part
whole
percent (%)
So 107 70%.
70
100
7 • 10
10 • 10
7
10
7
(^110)
Update your skills. See page 410.
Percents
Objective To model percents• To write percents as equivalent ratios and to
write ratios as equivalent percents
Some turtles lay their eggs on beaches and bury them
in the sand to protect them from predators. A nest
of turtle eggs may contain as many as 100 eggs.
If 48 out of 100 turtle eggs in a nest produce hatchlings,
what percent of the eggs in the nest produce hatchlings?
To find the percent of the eggs in the nest that produce
hatchlings, express the ratio 48 : 100 as a percent.
48 out of 100 48 : 100
Write as a fraction with a denominator of 100.
48% Write as a percent.
So 48% of the turtle eggs produce hatchlings.
When the second term of a ratio is 10 or 1000, you can use
mental math to find an equivalent fraction with a denominator
of 100 and then rename that fraction as a percent.
48
100
Think
10 • 10 100
Remember: 100 n n%
part whole
So^70 7%.
1000
70
1000
7
100
70 10
1000 10
70
1000
2
So^87 8.7%.
1000
8.7
100
87 10
1000 10
87
1000
87
1000
3
Write each as a percent.
Think
1000 10 100