
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
From a survey in our school, it was found that:

- All children who like mathematics participate in the Mathematical Olympiad,
- $90\%$ of children who do not like mathematics do not participate in the Mathematical Olympiad,
- $46\%$ of children participate in the Mathematical Olympiad.

What percentage of children in our school like mathematics?

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