High School

In questions 1-12, write the first quantity as a percentage of the second.

1. 36 out of 72
2. 18 out of 90
3. 5 out of 20
4. 6 out of 60

5. 36 out of 60
6. 54 out of 60
7. 100 compared to 80
8. 160 compared to 80

9. 400 compared to 80
10. 1 out of 500
11. 1/2 out of 500
12. 500 out of 500

Answer :

To express one quantity as a percentage of another, we use the formula: [tex]\text{Percentage} = \left( \frac{\text{First Quantity}}{\text{Second Quantity}} \right) \times 100 \%[/tex]

Let's calculate each item:

  1. [tex]36[/tex] out of [tex]72[/tex]:
    [tex]\left( \frac{36}{72} \right) \times 100 = 50\%[/tex]

  2. [tex]18[/tex] out of [tex]90[/tex]:
    [tex]\left( \frac{18}{90} \right) \times 100 = 20\%[/tex]

  3. [tex]5[/tex] out of [tex]20[/tex]:
    [tex]\left( \frac{5}{20} \right) \times 100 = 25\%[/tex]

  4. [tex]6[/tex] out of [tex]60[/tex]:
    [tex]\left( \frac{6}{60} \right) \times 100 = 10\%[/tex]

  5. [tex]36[/tex] out of [tex]60[/tex]:
    [tex]\left( \frac{36}{60} \right) \times 100 = 60\%[/tex]

  6. [tex]54[/tex] out of [tex]60[/tex]:
    [tex]\left( \frac{54}{60} \right) \times 100 = 90\%[/tex]

  7. [tex]100[/tex] compared to [tex]80[/tex]:
    [tex]\left( \frac{100}{80} \right) \times 100 = 125\%[/tex]

  8. [tex]160[/tex] compared to [tex]80[/tex]:
    [tex]\left( \frac{160}{80} \right) \times 100 = 200\%[/tex]

  9. [tex]400[/tex] compared to [tex]80[/tex]:
    [tex]\left( \frac{400}{80} \right) \times 100 = 500\%[/tex]

  10. [tex]1[/tex] out of [tex]500[/tex]:
    [tex]\left( \frac{1}{500} \right) \times 100 = 0.2\%[/tex]

  11. [tex]\frac{1}{2}[/tex] out of [tex]500[/tex]:
    [tex]\left( \frac{0.5}{500} \right) \times 100 = 0.1\%[/tex]

  12. [tex]500[/tex] out of [tex]500[/tex]:
    [tex]\left( \frac{500}{500} \right) \times 100 = 100\%[/tex]

This method involves dividing the first quantity by the second, and then multiplying by [tex]100[/tex] to convert the result into a percentage. The result represents the percentage the first quantity is of the second quantity.

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