To find what percent of 75 is 10, follow these steps:
1. Identify the Part and the Whole:
- Part: 10
- Whole: 75
2. Set Up the Formula for Percentage:
To find the percentage, you can use the formula:
[tex]\[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
\][/tex]
3. Substitute the Given Values:
In this case, the part is 10 and the whole is 75. So, the formula becomes:
[tex]\[
\text{Percentage} = \left( \frac{10}{75} \right) \times 100
\][/tex]
4. Calculate the Fraction:
First, calculate the fraction [tex]\( \frac{10}{75} \)[/tex]:
[tex]\[
\frac{10}{75} = 0.13333333333333333
\][/tex]
5. Convert the Fraction to a Percentage:
Multiply the fraction by 100 to get the percentage:
[tex]\[
0.13333333333333333 \times 100 = 13.333333333333334
\][/tex]
So, 10 is approximately 13.33% of 75.
To address the second part of your question, the correct choice for the solution is:
[tex]\( p = \frac{10}{75} \)[/tex]
This choice aligns with the step where we calculated the fraction of the part to the whole.
