Answer :
To find 66% of 75, we can use the formula for calculating a percentage of a number:
[tex]\[
\text{Percentage of a number} = \left(\frac{\text{Percentage}}{100}\right) \times \text{Number}
\][/tex]
1. Convert the percentage to a decimal:
- Start by converting 66% into a decimal by dividing by 100.
- [tex]\( \frac{66}{100} = 0.66 \)[/tex]
2. Multiply by the number:
- Next, multiply the decimal form of the percentage by the number you are finding the percentage of, which is 75.
- [tex]\( 0.66 \times 75 = 49.5 \)[/tex]
So, 66% of 75 is 49.5. The correct answer is [tex]\( \boxed{49.5} \)[/tex]. This matches option D in the list of multiple-choice answers.
[tex]\[
\text{Percentage of a number} = \left(\frac{\text{Percentage}}{100}\right) \times \text{Number}
\][/tex]
1. Convert the percentage to a decimal:
- Start by converting 66% into a decimal by dividing by 100.
- [tex]\( \frac{66}{100} = 0.66 \)[/tex]
2. Multiply by the number:
- Next, multiply the decimal form of the percentage by the number you are finding the percentage of, which is 75.
- [tex]\( 0.66 \times 75 = 49.5 \)[/tex]
So, 66% of 75 is 49.5. The correct answer is [tex]\( \boxed{49.5} \)[/tex]. This matches option D in the list of multiple-choice answers.