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 as excellent, good, average, and poor.

[tex]
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
\text{Viewer's Age Group} & \text{Excellent} & \text{Good} & \text{Average} & \text{Poor} & \text{Marginal Total} \\
\hline
16-25 & 52 & 42 & 12 & 7 & 113 \\
\hline
26-35 & 33 & 50 & 5 & 9 & 97 \\
\hline
36-45 & 58 & 12 & 28 & 34 & 132 \\
\hline
46-55 & 25 & 17 & 22 & 12 & 76 \\
\hline
56+ & 12 & 5 & 3 & 8 & 28 \\
\hline
\text{Marginal Total} & 180 & 126 & 70 & 70 & 446 \\
\hline
\end{array}
\]
[/tex]

Note: A rating of good or excellent means the audience liked the movie, while a rating of poor means the audience disliked the movie.

Out of the total respondents, what percentage of respondents from the [tex]$46-55$[/tex] age group rated the film as excellent? Write your answer up to two decimal places.

To find the percentage of respondents from the 46-55 age group who rated the film as "excellent," we will follow these steps:

1. Identify the relevant values from the table:
- The number of respondents in the 46-55 age group who rated the film "excellent" is 25.
- The total number of respondents in the 46-55 age group is 76.

2. Calculate the percentage:
- To find the percentage, use the formula:
[tex]\[
\text{Percentage} = \left(\frac{\text{Number of "excellent" ratings}}{\text{Total number of respondents in the group}}\right) \times 100
\][/tex]
- Plugging in the numbers:
[tex]\[
\text{Percentage} = \left(\frac{25}{76}\right) \times 100
\][/tex]

3. Final calculation:
- Calculate the division and then multiply by 100 to get the percentage:
[tex]\[
\text{Percentage} \approx 32.89
\][/tex]

So, the percentage of respondents from the 46-55 age group who rated the film as "excellent" is approximately 32.89%.