
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Alice conducted a survey about common misconceptions regarding foxes among a group of people. She found that $75.6\%$ of the participants believed that foxes are typically domestic animals. Among those who held this belief, $30\%$ thought that foxes could be trained like domestic dogs. Since foxes are not typically trainable like domestic dogs, these 27 people were incorrect. How many people in total did Alice survey?

Present the answer in LaTex format: \boxed{Your answer}
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