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A movie producer conducted a survey after a preview screening of her new movie to find out how the film would be received by viewers from different age groups. The table shows the numbers of viewers in different age groups who rated the film excellent, good, average, and poor. Out of the total respondents, the percentage of respondents from the 46–55 age group who rated the film excellent is %. Write your answer up to two decimal places.

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To determine the percentage of respondents from the 46–55 age group who rated the film excellent, we need to find the ratio of the number of respondents from that age group who rated the film excellent to the total number of respondents from all age groups who rated the film excellent.

Let's denote:
- \( E_{46-55} \) = Number of respondents from the 46–55 age group who rated the film excellent
- \( T_{46-55} \) = Total number of respondents from the 46–55 age group
- \( T_{excellent} \) = Total number of respondents who rated the film excellent

The percentage of respondents from the 46–55 age group who rated the film excellent is given by:

\[ \text{Percentage} = \frac{E_{46-55}}{T_{46-55}} \times 100 \]

Using the provided information:

\[ \text{Percentage} = \left( \frac{E_{46-55}}{T_{46-55}} \right) \times 100 \]

We don't have specific numbers, so we can't calculate the exact percentage. If you provide the actual numbers of respondents who rated the film excellent and the total number of respondents in the 46–55 age group, I can calculate the percentage for you.

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