1. PERCENT OF A NUMBER
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2. Prerequisite Skill Multiply: 1 x 100 - 20 5 ½ x 3,000 - 1500
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3. Objectives To find the percent of a number
To express one number (x) as the percent of some other number (y)
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4. Percent of a Number
To find the percent of a number, we can use one of the following methods:
Write the percent as a fraction and then multiply or
Write the percent as a decimal and then multiply.
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5. Find the Percent of a Number
Find 5 % of 200
Method – 1
5 % = 5 or
1 of 200 = 1 x 200
= 10
Method – 2
5 % = 0.05
0.05 of 200 = 0.05 x 200
= 10
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6. Find the percent of a number
Find 120 % of 75
Method – 1
120 % of 75 = 120 x 75
100
= 6 x 75 5
= 90
Method – 2
120 % of 75
= 1.2 of 75
= 1.2 x 75
= 90
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7. Practice Problems Find the percent of each number 15 % of 90 = 1350
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8. Express a number as the percent of another number
To express one number (quantity), say a, as the percent of some other number (quantity). Say b, we have to find
a x 100 % b
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9. Examples Express 70 as the percent of 280 .
as the percent of 280 = 70 x 100 %
280
= 25 %
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10. Example - 2 What percent of 80 is 32? Direct Method:
The required percent = 32 x 100 % 80
= 40 %
Alternative Method:
Let y % of 80 = 32
 y x 80 = 32
100
 y = 32 x 100 = 40 %
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11. Exercise Express 24 as the percentage of 30 80 %
2. Find, 45 is what percent of 54? – 83 1 % 3
is 35 % of a certain number; find the number - 360
Express 2/3 as the percent of 5/9
120%
5. Express 1/5 as the percent of ¼ 80 %
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12. WORD PROBLEMS
In an election, a candidate secured 43 % of votes polled and lost the election. Find the votes secured by the lost candidate
43 x = 43 x 350
100
= votes
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13. Word Problems 20 % of a number is 75. find the number
100
Number = 75 x 100 20
= 75 x 5 = 375
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14. Now your turn
A man spends 65 % of his salary and saves $525 per month. Find his salary per month
the man spends 65 % of his salary
he saves = (100 – 65) = 35 % of salary
35 % of salary = $ 525
35 x salary = $ 525
100
Salary = $ 525 x 100 35
= $ 1500.
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15. Question
2. Out of 800 oranges, 50 are rotten. Find the percentage of good oranges
number of rotten oranges = 50
number of good oranges = 800 – 50 = 750
percentage of good oranges = 750 x 100
800
= 93 ¾ %
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16. Review
To find the percent of a number, we can use one of the following methods:
Write the percent as a fraction and then multiply or
Write the percent as a decimal and then multiply.
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17. Assessment 70 % of 280 = 196 40 % of 180 = 72 23 % of 15 = 3.45
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18. Assessment
6. 75 % of $ $ 240
7. 5 % sales tax on a sale is $ 90. what is the amount of sale? $1800
8. If 30 % of a sum of money is $ 270. what is the total sum of money ? - $ 900
9.Find 12 ½ % of 144 kilogram of rice? 18kilogram
10. If 14 % of a number is 105. Find the number?
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19. Great Job!
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