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Erica paid [tex]$165 for an item that was originally priced at $[/tex]340. What percent of the original price did Erica pay? Round your answer to the nearest tenth of a percent.

Erica paid _____% of the original price.



Answer :

GinnyAnswer
To determine what percent of the original price Erica paid, we can follow these steps:

1. Identify the original price and the amount paid:
- Original price: $340
- Amount paid: $165

2. Calculate the percentage of the original price that was paid:
- The formula to find the percentage is:
[tex]\[ \text{Percentage Paid} = \left( \frac{\text{Amount Paid}}{\text{Original Price}} \right) \times 100 \][/tex]

3. Substitute the given values into the formula:
- [tex]\[ \text{Percentage Paid} = \left( \frac{165}{340} \right) \times 100 \][/tex]

4. Compute the fraction first:
- [tex]\[ \frac{165}{340} \approx 0.4853 \][/tex]

5. Convert the fraction to a percentage by multiplying by 100:
- [tex]\[ 0.4853 \times 100 = 48.53\% \][/tex]

6. Round the result to the nearest tenth of a percent:
- 48.53% rounds to 48.5%

Therefore, Erica paid 48.5% of the original price.

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