Questions: The bill for dinner was 40.55. You left 6.45 for the tip. What percentage of the original bill was the tip? Round your answer to the nearest whole percent.

The bill for dinner was 40.55. You left 6.45 for the tip. What percentage of the original bill was the tip? Round your answer to the nearest whole percent.
Transcript text: Correct The bill for dinner was $\$ 40.55$. You left $\$ 6.45$ for the tip. What percentage of the original bill was the tip? Round your answer to the nearest whole percent.
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Solution

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Solution Steps

To find the percentage of the original bill that the tip represents, divide the tip amount by the original bill amount and then multiply by 100 to convert it to a percentage. Finally, round the result to the nearest whole number.

Step 1: Calculate the Tip Percentage

To find the percentage of the original bill that the tip represents, we use the formula:

\[ \text{Tip Percentage} = \left( \frac{\text{Tip}}{\text{Original Bill}} \right) \times 100 \]

Substituting the values:

\[ \text{Tip Percentage} = \left( \frac{6.45}{40.55} \right) \times 100 \approx 15.9063 \]

Step 2: Round the Tip Percentage

Next, we round the calculated tip percentage to the nearest whole number:

\[ \text{Rounded Tip Percentage} = 16 \]

Final Answer

The percentage of the original bill that was left as a tip is \\(\boxed{16}\\).

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