A car salesperson had $84,784 in total monthly sales for April and $107,270 in May. The salesperson earned $4,865 in total commission from those sales combined.

What is the salesperson's commission as a percent of the total monthly sales?

Enter your answer, rounded to the nearest tenth of a percent, in the box.

%

1 answer

To find the salesperson's commission as a percent of the total monthly sales, we first need to calculate the combined total sales for both months, April and May.

  1. Calculate the total sales: \[ \text{Total sales} = \text{April sales} + \text{May sales} = 84,784 + 107,270 = 192,054 \]

  2. Calculate the commission as a percentage of total sales: The formula to calculate the percentage is: \[ \text{Percentage} = \left( \frac{\text{Commission}}{\text{Total sales}} \right) \times 100 \]

    Substituting in the values we have: \[ \text{Percentage} = \left( \frac{4,865}{192,054} \right) \times 100 \]

  3. Calculating the fraction: \[ \frac{4,865}{192,054} \approx 0.0253 \]

  4. Converting to percentage: \[ 0.0253 \times 100 \approx 2.53 \]

  5. Rounding to the nearest tenth of a percent: The rounded value is \(2.5%\).

Thus, the salesperson's commission as a percent of total monthly sales is:

\[ \boxed{2.5} \]