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Answer :
Sure! Let's solve the percentage problems step by step:
1. 70% of 45:
- To find 70% of 45, multiply 45 by 0.70 (since 70% as a decimal is 0.70).
- Calculation: [tex]\( 45 \times 0.70 = 31.5 \)[/tex]
- Round to the nearest whole number: 31.
2. 5.4% of [tex]$526.00:
- To find 5.4% of $[/tex]526, multiply [tex]$526 by 0.054 (since 5.4% as a decimal is 0.054).
- Calculation: \( 526 \times 0.054 = \$[/tex]28.404 \)
- Round to the nearest cent: \[tex]$28.40.
3. 121/2% of $[/tex]34,000:
- First, convert 121/2% to a decimal by dividing 121 by 2, which gives you 60.5%.
- As a decimal, 60.5% is 0.605.
- Multiply [tex]$34,000 by 0.605.
- Calculation: \( 34000 \times 0.605 = \$[/tex]20,570 \).
4. [tex]$20.25 is what percent of $[/tex]80.00?
- To find what percent [tex]$20.25 is of $[/tex]80, divide 20.25 by 80 and then multiply by 100.
- Calculation: [tex]\( \left(\frac{20.25}{80}\right) \times 100 = 25.3125 \)[/tex]
- Round to two decimal places: 25.31%.
5. 175 is what percent of 250?
- To find what percent 175 is of 250, divide 175 by 250 and then multiply by 100.
- Calculation: [tex]\( \left(\frac{175}{250}\right) \times 100 = 70\% \)[/tex].
6. Salary increase percentage:
- Original salary = [tex]$30,000, New salary = $[/tex]36,000
- First, find the increase: [tex]$36,000 - $[/tex]30,000 = [tex]$6,000.
- Then, divide the increase by the original salary and multiply by 100 to get the percentage.
- Calculation: \( \left(\frac{6000}{30000}\right) \times 100 = 20\% \).
7. $[/tex]150.00 is 15% of what amount?
- To find the total amount, divide [tex]$150 by 0.15 (since 15% as a decimal is 0.15).
- Calculation: \( \frac{150}{0.15} = \$[/tex]1000 \).
8. 300 is 37.5% of what number?
- To find the original number, divide 300 by 0.375 (since 37.5% as a decimal is 0.375).
- Calculation: [tex]\( \frac{300}{0.375} \approx 800 \)[/tex].
I hope this helps! Let me know if you have any more questions.
1. 70% of 45:
- To find 70% of 45, multiply 45 by 0.70 (since 70% as a decimal is 0.70).
- Calculation: [tex]\( 45 \times 0.70 = 31.5 \)[/tex]
- Round to the nearest whole number: 31.
2. 5.4% of [tex]$526.00:
- To find 5.4% of $[/tex]526, multiply [tex]$526 by 0.054 (since 5.4% as a decimal is 0.054).
- Calculation: \( 526 \times 0.054 = \$[/tex]28.404 \)
- Round to the nearest cent: \[tex]$28.40.
3. 121/2% of $[/tex]34,000:
- First, convert 121/2% to a decimal by dividing 121 by 2, which gives you 60.5%.
- As a decimal, 60.5% is 0.605.
- Multiply [tex]$34,000 by 0.605.
- Calculation: \( 34000 \times 0.605 = \$[/tex]20,570 \).
4. [tex]$20.25 is what percent of $[/tex]80.00?
- To find what percent [tex]$20.25 is of $[/tex]80, divide 20.25 by 80 and then multiply by 100.
- Calculation: [tex]\( \left(\frac{20.25}{80}\right) \times 100 = 25.3125 \)[/tex]
- Round to two decimal places: 25.31%.
5. 175 is what percent of 250?
- To find what percent 175 is of 250, divide 175 by 250 and then multiply by 100.
- Calculation: [tex]\( \left(\frac{175}{250}\right) \times 100 = 70\% \)[/tex].
6. Salary increase percentage:
- Original salary = [tex]$30,000, New salary = $[/tex]36,000
- First, find the increase: [tex]$36,000 - $[/tex]30,000 = [tex]$6,000.
- Then, divide the increase by the original salary and multiply by 100 to get the percentage.
- Calculation: \( \left(\frac{6000}{30000}\right) \times 100 = 20\% \).
7. $[/tex]150.00 is 15% of what amount?
- To find the total amount, divide [tex]$150 by 0.15 (since 15% as a decimal is 0.15).
- Calculation: \( \frac{150}{0.15} = \$[/tex]1000 \).
8. 300 is 37.5% of what number?
- To find the original number, divide 300 by 0.375 (since 37.5% as a decimal is 0.375).
- Calculation: [tex]\( \frac{300}{0.375} \approx 800 \)[/tex].
I hope this helps! Let me know if you have any more questions.
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