To find the percentage of the house selling price that the realtor earned as commission, we can follow these steps:
1. Identify the selling price of the house and the commission amount received by the realtor.
- Selling price of the house: [tex]$480,000
- Commission received by the realtor: $[/tex]31,200
2. Set up the formula to find the commission percentage. The formula to calculate the percentage of a part relative to a whole is:
[tex]\[
\text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100
\][/tex]
3. Plug the given values into the formula. Here, the part is the commission amount, and the whole is the selling price of the house:
[tex]\[
\text{Percentage} = \left( \frac{31,200}{480,000} \right) \times 100
\][/tex]
4. Calculate the result of the division and then multiply by 100 to convert it to a percentage.
By following these steps, we find that the realtor earned 6.5% of the selling price as commission.