Answer :

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.