5.2 Percent Converting Between Fractions, Decimals, And Percents Worksheet Page 6
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10Example 4
Mr. Jones pays $12,480 income tax for $46,520 in taxable income. Find his
income tax rate, expressed as a percent rounded to the nearest hundredth.
income tax
Solution
His tax rate is given as the ratio of
. So, we want to find the ratio
taxable income
x
$12, 480
which is equivalent to
. Setting up and solving the proportion:
100
$46,520
x
12, 480
=
100
46,520
x
12480
= 465200 •
465200 •
100
46520
4652x = 124800
124800
x =
! 26.83%
4652
Mr. Jones’ income tax rate is approximately 26.83%.
In the previous example note that, in solving the proportion, we did not use the LCM of 46520
and 100. Instead, we used a convenient number which we knew would clear fractions in the
equation. This is common practice in solving percent proportion applications, since the numbers
are often fairly large and finding the LCM can be time consuming.
Example 5
At one point of the season, the San Francisco Giants had won 26 games and
lost 14 games. Express their win to games played ratio as a percent.
Solution
First note that they have played 26 + 14 = 40 games. Their win to games played
26
x
ratio is
, which we want to express as a percent
. Setting up and solving
40
100
the proportion:
x
26
=
100
40
x
26
= 200 •
200 •
100
40
2x = 130
130
x =
= 65%
2
The Giants winning percent is 65%. For baseball fans, note that this is equivalent
to 0.650, which is how these winning percents are represented in the media.
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