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Find Percentages of Numbers - Step-by-Step Lesson
What is 30% of 120?
Explanation:
The best way to do this is to set it up as a proportion.
We can look at 30% as 30 out of 100. It can also be stated as:
30 to 100 : 30:100 : = 0.3
We can set up the problem as:
x = percentage as a decimal (total value)
x = 0.3 (120)
x = 36
So, the answer is 36%.
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Find Percentages of Numbers - Guided Lesson
Complete the following problems:
Find the percentage of the integers.
1) What is 75% of 100?
2) What is 45% of 50?
3) What is 140% of 500?
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Find Percentages of Numbers - Guided Lesson Explanation
When solving percentage problems, the basic formula is:
x = percentage as a decimal (Original Value)
Explanation#1
We convert the percentage to a decimal. 75% = 0.75
Using the original formula:
x = 0.75 (100) x = 75
Explanation#2
We convert the percentage to a decimal. 45% = 0.45
Using the original formula:
x = 0.45 (50) x = 22.5
Explanation#3
We convert the percentage to a decimal. 140% = 1.4
Using the original formula:
x = 1.4 (500) x = 700
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Percentages of Numbers Lesson and Practice
Find percentage: 15% of 40
To solve the given expression we have to first remove the sign of % by dividing the number by 100.
So the new expression will be
15 x 40 100 1
Multiply the given expression:
600 100
Simplify the expression to its lowest terms
6
Answer: 6
Practice Problems.
1 100% of 46 2 20% of 80
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Find Percentages of Numbers - Independent Practice Worksheet
Complete all the problems.
1. What is 78% of 40?
2. What is 25% of 35?
3. What is 62% of 90?
4. What is 15% of 55?
5. What is 41% of 12?
6. What is 6% of 90?
7. What is 18% of 5?
8. What is 80% of 120?
9. What is 7% of 10?
10. What is 22% of 49?
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Find Percentages of Numbers - Matching Worksheet
Write the letter of the answer that matches the problem.
_______
1. What is 25% of 100?
a.
11.5%
_______
2. What is 41% of 60?
b.
105.6%
_______
3. What is 23% of 50?
c.
24.6%
_______
4. What is 35% of 75?
d.
77%
_______
5. What is 97% of 155?
e.
0.4%
_______
6. What is 120% of 88?
f.
25%
_______
7. What is 10% of 4?
g.
150.35%
_______
8. What is 18% of 31?
h.
1.6%
_______
9. What is 55% of 140?
i.
26.25%
_______
10. What is 8% of 20?
j.
5.58%
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Topic: Numbers Based on Percentage - Worksheet 1 Complete the following:
1. What percent of 40 is 35?
2. 50 is what percent of 550?
3. Find 20% of the number 85.
4. 45 is what percent of 80?
5. 10 is what percent of 50?
6. What percent of 60 is 15?
7. 20 is 60% of what number?
8. 24 is what percent of 78?
9. 30 is what percent of 600?
10. What is 20% of 250?
Name: ________________________ Date ____________
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Topic: Numbers Based on Percentage - Worksheet 1 ANSWERS Complete the following:
1. What percent of 40 is 35? 87.5 %
2. 50 is what percent of 550? 9.09 %
3. Find 20% of the number 85. 17
4. 45 is what percent of 80? 56.25 %
5. 10 is what percent of 50? 20 %
6. What percent of 60 is 15? 25 %
7. 20 is 60% of what number? 33.3333
8. 24 is what percent of 78? 30.769 %
9. 30 is what percent of 600? 5 %
10. What is 20% of 250? 50
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Topic: Numbers Based on Percentage - Worksheet 2 Complete the following:
1. What percent of 60 is 15?
2. 15 is what percent of 30?
3. Find 32% of the number 16.
4. 10 is what percent of 20?
5. How many percent of 30 is 5?
6. What percent of 150 is 45?
7. Find a number so that 48% of it is 30.
8. 35 is what percent of 100?
9. 30 is what percent of 200?
10. What is 50% of 150?
Name: ________________________ Date ____________
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Topic: Numbers Based on Percentage - Worksheet 2 ANSWERS Complete the following:
1. What percent of 60 is 15? 25 %
2. 15 is what percent of 30? 50 %
3. Find 32% of the number 16. 5.12
4. 10 is what percent of 20? 50 %
5. How many percent of 30 is 5? 16.667%
6. What percent of 150 is 45? 30 %
7. Find a number so that 50% of it is 32. 64
8. 35 is what percent of 100? 35 %
9. 30 is what percent of 200? 15%
10. What is 50% of 150? 75
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Topic: Numbers Based on Percentage - Worksheet 3 Complete the following:
1. What percent of 80 is 50?
2. 70 is what percent of 20?
3. Find 22% of the number 60.
4. 10 is what percent of 45?
5. 50 is what percent of 100?
6. What percent of 120 is 70?
7. 40 is 18% of what number?
8. 15 is what percent of 100?
9. Find what percent of 200 is 25.
10. What is 50% of 50?
Name: ________________________ Date ____________
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Topic: Numbers Based on Percentage - Worksheet 3 ANSWERS Complete the following:
1. What percent of 80 is 50? 62.5 %
2. 20 is what percent of 70? 28.571 %
3. Find 22% of the number 60. 13.2
4. 10 is what percent of 45? 22.22 %
5. 50 is what percent of 100? 50 %
6. What percent of 120 is 70? 58.33 %
7. 40 is 18% of what number? 222.2222
8. 15 is what percent of 100? 15 %
9. Find what percent of 200 is 25. 12.5
10. What is 50% of 50? 25
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Topic: Numbers Based on Percentage - Worksheet 4 Complete the following:
1. What percent of 60 is 50?
2. 32 is what percent of 15?
3. Find 30% of the number 20.
4. 20 is what percent of 5?
5. How many percent of 55 is 15?
6. What percent of 45 is 10?
7. 10 is 20% of what number?
8. 10 is what percent of 25?
9. Find what percent of 100 is 15.
10. What is 70% of 35?
Name: ________________________ Date ____________
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Topic: Numbers Based on Percentage - Worksheet 4 ANSWERS Complete the following:
1. What percent of 60 is 50? 83.33 %
2. 32 is what percent of 15? 46.875 %
3. Find 30% of the number 20. 6
4. 20 is what percent of 5? 25 %
5. How many percent of 55 is 15? 27.2727%
6. What percent of 45 is 10? 22.22%
7. 10 is 20% of what number? 50
8. 10 is what percent of 25? 40%
9. Find what percent of 100 is 15. 15 %
10. What is 70% of 35? 24.5
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Topic: Numbers Based on Percentage - Worksheet 5 Complete the following:
1. What percent of 40 is 25?
2. 15 is what percent of 90?
3. Find 10% of the number 15.
4. 25 is what percent of 40?
5. 20 is what percent of 30?
6. What percent of 20 is 15?
7. 20 is 32% of what number?
8. 25 is what percent of 30?
9. 15 is what percent of 300?
10. What is 40% of 15?
Name: ________________________ Date ____________
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Topic: Numbers Based on Percentage - Worksheet 5 ANSWERS Complete the following:
1. What percent of 40 is 25? 62.5%
2. 15 is what percent of 90? 16.67%
3. Find 10% of the number 15. 1.5
4. 25 is what percent of 30? 83.33&
5. 20 is what percent of 30? 66.67%
6. What percent of 20 is 15? 75%
7. 20 is 32% of what number? 62.5
8. 25 is what percent of 30? 83.33%
9. 15 is what percent of 300? 5
10. What is 40% of 15? 6
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Topic : Percent of a Number - Worksheet 1 Find the percentage: 1. 90% of 550 = 2. 50% of 200 = 3. 25% of 800 = 4. 35% of 650 = 5. 70% of 650 = 6. 65% of 780 =
7. 80% of 420 = 8. 45% of 650 = 9. 75% of 750 = 10. 80% of 700 =
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Topic : Percent of a Number - Worksheet 1-ANSWERS Find the percentage: 1. 90% of 550 = 90/100 X550=495 2. 50% of 200 = 50/100 X 200=100 3. 25% of 800 = 25/100 X 800=200 4. 35% of 650 = 35/100 X 650=227.5 5. 70% of 650 = 70/100 X 650=455 6. 65% of 780 = 65/100 X 780=507
7. 80% of 420 = 80/100 X420=336 8. 45% of 650 = 45/100 X 650=292.5 9. 75% of 750 = 75/100 X 750=562.5 10. 80% of 700 = 80/100 X 700=560
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Topic : Percent of a Number - Worksheet 2 Find the percentage: 10. 80% of 100 = 11. 20% of 800 = 12. 5% of 800 = 13. 85% of 600 = 14. 50% of 300 = 15. 75% of 700 =
16. 80% of 450 = 17. 48% of 650 = 18. 95% of 850 = 10. 50% of 500 =
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Topic : Percent of a Number - Worksheet 2-ANSWERS Find the percentage: 10. 80% of 100 = 80/100 X100=80 11. 20% of 800 = 20/100 X 800=160 12. 5% of 800 = 5/100 X 800=40 13. 85% of 600 = 85/100 X 600=510 14. 50% of 300 = 50/100 X 300=150 15. 75% of 700 = 75/100 X 700=525
16. 80% of 450 = 80/100 X450=360 17. 48% of 650 = 48/100 X 650=312 18. 95% of 850 = 95/100 X 850=807.5 10. 50% of 500 = 50/100 X 500=250
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Topic : Percent of a Number - Worksheet 3 Find the percentage: 19. 50% of 200 = 20. 30% of 500 = 21. 15% of 900 = 22. 65% of 700 = 23. 80% of 800 = 24. 75% of 900 =
25. 70% of 500 = 26. 50% of 150 = 27. 45% of 800 = 10. 50% of 580 =
Name: ________________________ Date ____________
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Topic : Percent of a Number - Worksheet 3-ANSWERS Find the percentage: 19. 50% of 200 = 50/100 X200=100 20. 30% of 500 = 30/100 X 500=150 21. 15% of 900 = 15/100 X 900=135 22. 65% of 700 = 65/100 X 700=455 23. 80% of 800 = 80/100 X 800=640 24. 75% of 900 = 75/100 X 900=675
25. 70% of 500 = 70/100 X500=350 26. 50% of 150 = 50/100 X 150=75 27. 45% of 800 = 45/100 X 800=360 10. 50% of 580 = 50/100 X 580=290
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Topic : Percent of a Number - Worksheet 4 Find the percentage: 28. 60% of 200 = 29. 40% of 400 = 30. 25% of 500 = 31. 5% of 700 = 32. 90% of 600 = 33. 85% of 800 =
34. 80% of 500 = 35. 30% of 350 = 36. 75% of 300 = 10. 50% of 600 =
Name: ________________________ Date ____________
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Topic : Percent of a Number - Worksheet 4 -ANSWERS Find the percentage: 28. 60% of 200 = 60/100 X200=120 29. 40% of 400 = 40/100 X 400=160 30. 25% of 500 = 25/100 X 500=125 31. 5% of 700 = 5/100 X 700=35 32. 90% of 600 = 90/100 X 600=540 33. 85% of 800 = 85/100 X 800=680
34. 80% of 500 = 80/100 X500=400 35. 30% of 350 = 30/100 X 350=105 36. 75% of 300 = 75/100 X 300=225 10. 50% of 600 = 50/100 X 600=300
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Topic : Percent of a Number - Worksheet 5 Find the percentage: 37. 80% of 650 = 38. 40% of 300 = 39. 50% of 380 = 40. 25% of 700 = 41. 25% of 250 = 42. 85% of 750 =
43. 80% of 480 = 44. 50% of 650 = 45. 95% of 150 = 10. 70% of 750 =
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Topic : Percent of a Number - Worksheet 5-ANSWERS Find the percentage: 46. 80% of 650 = 80/100 X650=520 47. 40% of 300 = 40/100 X 300=120 48. 50% of 380 = 50/100 X 380=190 49. 25% of 700 = 25/100 X700=175 50. 35% of 250 = 35/100 X 250=87.5 51. 85% of 750 = 85/100 X 750=637.5
52. 80% of 480 = 80/100 X480=384 53. 50% of 650 = 50/100 X 650=325 54. 95% of 150 = 95/100 X 150=142.5 20. 70% of 750 = 70/100 X 750=525
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Topic: Finding Percentages (of 10s) - Worksheet 1 Directions: Find the percentage. 1. 40% of 65 2. 60% of 8 3. 20% of 55 4. 50% of 45 5. 90% of 30 6. 30% of 78 7. 70% of 50 8. 10% of 85 9. 100% of 71 10. 80% of 65
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Topic: Finding Percentages (of 10s) - Worksheet 1 ANSWERS Directions: Find the percentage.
1.
26
2.
4.8
3.
11
4.
22.5
5.
27
6.
23.4
7.
35
8.
8.5
9.
71
10.
52
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Topic: Finding Percentages (of 5s) - Worksheet 2 Directions: Find the percentage. 1. 5% of 33 2. 25% of 10 3. 65% of 51 4. 85% of 90 5. 45% of 88 6. 15% of 72 7. 75% of 67 8. 55% of 40 9. 35% of 25 10. 95% of 56
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Topic: Finding Percentages (of 5s) - Worksheet 2 ANSWERS Directions: Find the percentage.
1.
1.65
2.
2.5
3.
33.15
4.
76.5
5.
39.6
6.
10.8
7.
50.25
8.
22
9.
6.25
10.
53.2
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Topic: Percentages Greater Than 100% of Numbers - Worksheet 3 Directions: Find the percentage. 1. 110% of 41 2. 149% of 20 3. 500% of 36 4. 120% of 52 5. 320% of 61 6. 170% of 78 7. 800% of 82 8. 1000% of 91 9. 160% of 9 10. 334% of 47
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Topic: Percentages Greater Than 100% of Numbers - Worksheet 3 ANSWERS Directions: Find the percentage.
1.
45.1
2.
29.8
3.
180
4.
62.4
5.
195.2
6.
132.6
7.
656
8.
910
9.
14.4
10.
156.98
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Topic: Finding Mixed Percentages of Numbers - Worksheet 4 Directions: Find the percentage. 1. 73% of 83 2. 29% of 23 3. 52% of 44 4. 9% of 7 5. 91% of 66 6. 47% of 17 7. 67% of 86 8. 83% of 69 9. 45% of 74 10. 34% of 53
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Topic: Finding Mixed Percentages of Numbers - Worksheet 4 ANSWERS Directions: Find the percentage.
1.
60.59
2.
6.67
3.
22.88
4.
0.63
5.
60.06
6.
7.99
7.
57.62
8.
57.27
9.
33.3
10.
18.02
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Topic: Finding 100% of A Number - Worksheet 5 Directions: Find the percentage. 1. 100% of 33 2. 100% of 47 3. 100% of 58 4. 100% of 11 5. 100% of 77 6. 100% of 29 7. 100% of 62 8. 100% of 83 9. 100% of 95 10.100% of 80
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Topic: Finding 100% of A Number - Worksheet 5 ANSWERS Directions: Find the percentage.
1.
33
2.
47
3.
58
4.
11
5.
77
6.
29
7.
62
8.
83
9.
95
10.
80
