
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
Due to the reconstruction of equipment, a worker's productivity increased twice during the year by the same percentage each time. By what percentage did the worker's productivity increase each time if, in the same amount of time, the worker used to produce goods worth 2500 rubles, and now produces goods worth 2809 rubles?

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