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.
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Calculate the total sales: \[ \text{Total sales} = \text{April sales} + \text{May sales} = 84,784 + 107,270 = 192,054 \]
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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: \[ \text{Percentage} = \left( \frac{4,865}{192,054} \right) \times 100 \]
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Calculating the fraction: \[ \frac{4,865}{192,054} \approx 0.0253 \]
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Converting to percentage: \[ 0.0253 \times 100 \approx 2.53 \]
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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:
\[ \boxed{2.5} \]