Answer :
To solve the question "175 is what percent of 240?" we follow these steps:
1. Identify the part and the whole:
- The "part" is the number 175.
- The "whole" is the number 240.
2. Set up the percentage formula:
The formula to calculate what percent a number (part) is of another number (whole) is:
[tex]\[
\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100
\][/tex]
3. Substitute the given values into the formula:
Plug in the part (175) and the whole (240) into the formula:
[tex]\[
\text{Percentage} = \left(\frac{175}{240}\right) \times 100
\][/tex]
4. Perform the division:
Calculate [tex]\(\frac{175}{240}\)[/tex]:
[tex]\[
\frac{175}{240} \approx 0.7291666666666666
\][/tex]
5. Multiply by 100 to convert to a percentage:
[tex]\[
0.7291666666666666 \times 100 \approx 72.91666666666666
\][/tex]
6. Round the result:
To round 72.91666666666666 to the nearest tenth of a percent, we get 72.9.
Therefore, 175 is approximately 72.9% of 240.
1. Identify the part and the whole:
- The "part" is the number 175.
- The "whole" is the number 240.
2. Set up the percentage formula:
The formula to calculate what percent a number (part) is of another number (whole) is:
[tex]\[
\text{Percentage} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100
\][/tex]
3. Substitute the given values into the formula:
Plug in the part (175) and the whole (240) into the formula:
[tex]\[
\text{Percentage} = \left(\frac{175}{240}\right) \times 100
\][/tex]
4. Perform the division:
Calculate [tex]\(\frac{175}{240}\)[/tex]:
[tex]\[
\frac{175}{240} \approx 0.7291666666666666
\][/tex]
5. Multiply by 100 to convert to a percentage:
[tex]\[
0.7291666666666666 \times 100 \approx 72.91666666666666
\][/tex]
6. Round the result:
To round 72.91666666666666 to the nearest tenth of a percent, we get 72.9.
Therefore, 175 is approximately 72.9% of 240.
