Vegtown Elections

What percentage of people voted for the Broccoli party in the Vegtown election?
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Problem



Elections in Vegtown were held recently.

46% of voters ate broccoli.

Everyone who voted for the Broccoli Party ate broccoli.

Of those who voted for other parties, 90% never ate broccoli.

What percentage of voters voted for the Broccoli Party?

This problem is taken from the UKMT Mathematical Challenges.