Translate to a proportion and solve.

What percent of 82 is 54? Use [tex]\( p \)[/tex] for your variable, and round your solution to two decimal places.

1. Proportion equation:
[tex]\[ \frac{p}{100} = \frac{54}{82} \][/tex]

2. Solution:
[tex]\[ p = \][/tex] _______%



Answer :

Sure, let’s go through the steps to solve the problem "What percent of 82 is 54?" using a proportion equation and rounding the solution to two decimal places.

1. Proportion Equation:
To find the percentage, you can set up the proportion equation as follows:
[tex]\[ \frac{\text{part}}{\text{whole}} = \frac{\text{percent}}{100} \][/tex]
Here, the "part" is 54 and the "whole" is 82. So, the equation becomes:
[tex]\[ \frac{54}{82} = \frac{\text{percent}}{100} \][/tex]

2. Solution:
To solve for the "percent", multiply both sides of the proportion by 100:
[tex]\[ \text{percent} = \left( \frac{54}{82} \right) \times 100 \][/tex]

This will give you:
[tex]\[ \text{percent} \approx 65.85 \][/tex]

So, after solving the proportion and rounding to two decimal places, we find that 54 is approximately 65.85% of 82.