High School

1. What is 5% of 329?
2. What is 8% of 578?
3. What is 12% of 657?
4. What is 15% of 549?
5. What is 24% of 6,438?
6. What is 36% of 7,457?
7. What is 4.6% of 8,356?
8. What is 0.74% of 9,427?
9. What is 8.5% of 8,456?
10. What is 7 2/6% of 9,647?

Answer :

Let's solve each problem step-by-step. To find the percentage of a number, you multiply the number by the percent (written as a decimal).

Formula:
[tex]\text{Percent of a number} = \text{Number} \times \frac{\text{Percent}}{100}[/tex]

  1. What is 5% of 329?
    [tex]5\% \text{ of } 329 = 329 \times 0.05 = 16.45[/tex]

  2. What is 8% of 578?
    [tex]8\% \text{ of } 578 = 578 \times 0.08 = 46.24[/tex]

  3. What is 12% of 657?
    [tex]12\% \text{ of } 657 = 657 \times 0.12 = 78.84[/tex]

  4. What is 15% of 549?
    [tex]15\% \text{ of } 549 = 549 \times 0.15 = 82.35[/tex]

  5. What is 24% of 6,438?
    [tex]24\% \text{ of } 6,438 = 6,438 \times 0.24 = 1,545.12[/tex]

  6. What is 36% of 7,457?
    [tex]36\% \text{ of } 7,457 = 7,457 \times 0.36 = 2,684.52[/tex]

  7. What is 4.6% of 8,356?
    [tex]4.6\% \text{ of } 8,356 = 8,356 \times 0.046 = 384.376[/tex]

  8. What is 0.74% of 9,427?
    [tex]0.74\% \text{ of } 9,427 = 9,427 \times 0.0074 = 69.7598[/tex]

  9. What is 8.5% of 8,456?
    [tex]8.5\% \text{ of } 8,456 = 8,456 \times 0.085 = 718.76[/tex]

  10. What is 7 2/6% of 9,647?

First, convert 7 2/6% to a decimal. [tex]2/6 = 1/3[/tex], so [tex]7 2/6 = 7 1/3\% = 7.333\%[/tex]

[tex]7.333\% \text{ of } 9,647 = 9,647 \times 0.07333 \approx 707.47[/tex]

Summary:

  1. 16.45
  2. 46.24
  3. 78.84
  4. 82.35
  5. 1,545.12
  6. 2,684.52
  7. 384.376
  8. 69.7598
  9. 718.76
  10. 707.47

Explanation:
You multiply the given number by the percent written as a decimal (divide the percent by 100), and this gives you the answer. Therefore, this method can be used for any percent problem.