Fundamentals of Mathematics, 2008a

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7.7.3 Finding the Percentage
7.7.3.1 Sample Set A
Example 7.36
What number
} {{ }
(percentage)
↓
is
↓
30%
↓
=
↓
(percent)
↓
of 50?
↓ ↓
·
↓
(base)
↓
Missing product statement.
P = 30% · 50 Convert 30% to a decimal.
P = .30 · 50 Multiply.
P = 15
Thus, 15 is 30% of 50.
Do Section 7.7.3.2 (Practice Set A), Exercise 7.7.1.
Example 7.37
What number
} {{ }
(percentage)
↓
is
↓
36%
↓
=
↓
(percent)
↓
of 95?
↓ ↓
·
↓
(base)
↓
Missing product statement.
P = 36% · 95 Convert 36% to a decimal.
P = .36 · 95 Multiply
P = 34.2
Thus, 34.2 is 36% of 95.
Do Section 7.7.3.2 (Practice Set A), Exercise 7.7.1.
Example 7.38
A salesperson, who gets a commission of 12% of each sale she makes, makes a sale of $8,400.00.
How much is her commission?
We need to determine what part of $8,400.00 is to be taken. What part indicates percentage.
What number
} {{ }
(percentage)
↓
is
↓
12%
↓
=
↓
(percent)
↓
of 8, 400.00? Missing product statement.
↓
·
↓
↓
(base)
↓
P = 12% · 8, 400.00 Convert to decimals.
P = .12 · 8, 400.00 Multiply.
P = 1008.00
Thus, the salesperson's commission is $1,008.00.
Do Section 7.7.3.2 (Practice Set A), Exercise 7.7.2.
Example 7.39
A girl, by practicing typing on her home computer, has been able to increase her typing speed by
110%. If she originally typed 16 words per minute, by how many words per minute was she able to
increase her speed?
We need to determine what part of 16 has been taken. What part indicates percentage.
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