To determine what percentage 13 is of 25, follow these steps:
1. Understand the relationship: We need to find the percentage [tex]\( p \)[/tex] such that 13 is [tex]\( p \% \)[/tex] of 25. This translates to the equation:
[tex]\[
13 = \left( \frac{p}{100} \right) \times 25
\][/tex]
2. Set up the equation to solve for [tex]\( p \)[/tex]:
Rewrite the equation by isolating [tex]\( p \)[/tex]:
[tex]\[
13 = \left( \frac{p}{100} \right) \times 25
\][/tex]
3. Multiply both sides by 100 to remove the fraction:
[tex]\[
1300 = p \times 25
\][/tex]
4. Solve for [tex]\( p \)[/tex]:
Divide both sides by 25 to isolate [tex]\( p \)[/tex]:
[tex]\[
p = \frac{1300}{25}
\][/tex]
5. Simplify the division:
[tex]\[
p = 52
\][/tex]
So, the value of [tex]\( p \)[/tex] is [tex]\( 52 \)[/tex]. Therefore, 13 is [tex]\( 52\% \)[/tex] of 25.