*This Math quiz is called 'Calculating Simple Percentages' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.*

* It costs only $12.50 per month to play this quiz and over 3,500 others that help you with your school work. You can subscribe on the page at Join Us*

What is a percentage? A percentage is a way in which you can express a fraction (or a part of a whole) in portions of 100. In word form, a percentage would look like this:

Part/Whole = Percent/100

The symbol used to show percent is “%” so 17 percent would be 17%. The “17” is the “part” and the “%” is the whole which means that 17% can also be shown as 17/100.

__How to Find the Percentage of Any Given Number__:

In math you will often have to find the percentage of a number. For example, if you were to go shopping and you found a new shirt that was 20% off, you would need to know what is the number the 20% is off of. The sales tag on the shirt says $20.00. So now you would need to know how to find what 20% of $20.00 is. To do this you must multiply the number ($20.00) by the percent “20”. However if you multiply 20.00 x 20, you would get the answer: “400.00”. That would not be correct. Why, because we need to multiply $20.00 by 20%, not by “20”.

20% must be converted to a decimal number. We know that 20% also equals 20/100. The “100” (which replaces the % symbol) needs to be used to create a decimal number. To show 20/100 as a decimal, we must move a decimal point over to the left, beginning to the immediate right of the “0” in “20”, two spaces so 20/100 becomes .20. That decimal point is used in place of the “100” and/or the “%”. We can then multiply $20.00 by .20 so: 20.00 x .20 = 4.00. This tells us that 20% of $20.00 is $4.00.

__How to Determine the Percentage of Any Given Number__:

Now if you are looking to find what the percentage is, let’s say if you took 20 cans of soda from a package of 80, you would need to divide 20 by 80 so it would be written out as: 20 ÷ 80 = .25. Now we must reverse the decimal to a percentage. To do this, we now need to move the decimal point over two spaces to the right so that .25 becomes 25 and the decimal becomes the symbol “%” so the answer would be 25%. This means that 20 cans of soda removed from a package of 80 cans equals 25%.

1.

90% of 140

126

130

120

110

90% converts to 90/100 or in decimal form, .90. We can eliminate the “0” after the .9 and simply use .9 to find our answer. We then multiply 140 by .9 or 140 x .9 = 126. Answer (a) is the correct answer

2.

40% of 110

60

55

44

35

40% converts to 40/100 or in decimal form, .40. We can eliminate the “0” after the .4 and simply use .4 to find our answer. We then multiply 110 by .4 or 110 x .4 = 44. Answer (c) is the correct answer

3.

80% of 80

48

58

62

64

80% converts to 80/100 or in decimal form, .80. We can eliminate the “0” after the .8 and simply use .8 to find our answer. We then multiply 80 by .8 or 80 x .8 = 64. Answer (d) is the correct answer

4.

60% of 20

6

8

9

12

60% converts to 60/100 or in decimal form, .60. We can eliminate the “0” after the .6 and simply use .6 to find our answer. We then multiply 20 by .6 or 20 x .6 = 12. Answer (d) is the correct answer

5.

30% of 150

45

48

51

53

30% converts to 30/100 or in decimal form, .30. We can eliminate the “0” after the .3 and simply use .3 to find our answer. We then multiply 150 by .3 or 150 x .3 = 45. Answer (a) is the correct answer

6.

80% of 70

50

54

56

58

80% converts to 80/100 or in decimal form, .80. We can eliminate the “0” after the .8 and simply use .8 to find our answer. We then multiply 70 by .8 or 70 x .8 = 56. Answer (c) is the correct answer

7.

10% of 45

45

4.05

4.5

4

10% converts to 10/100 or in decimal form, .10. We can eliminate the “0” after the .1 and simply use .1 to find our answer. We then multiply 45 by .1 or 45 x .1 = 4.5. Answer (c) is the correct answer

8.

20% of 350

140

70

60

55

20% converts to 20/100 or in decimal form, .20. We can eliminate the “0” after the .2 and simply use .2 to find our answer. We then multiply 350 by .2 or 350 x .2 = 70. Answer (b) is the correct answer

9.

70% of 200

120

140

160

170

70% converts to 70/100 or in decimal form, .70. We can eliminate the “0” after the .7 and simply use .7 to find our answer. We then multiply 200 by .7 or 200 x .7 = 140. Answer (b) is the correct answer

10.

50% of 170

85

135

45

90

50% converts to 50/100 or in decimal form, .50. We can eliminate the “0” after the .5 and simply use .5 to find our answer. We then multiply 170 by .5 or 170 x .5 = 85. Answer (a) is the correct answer