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.
