
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
A circular wheel of radius 2 meters is divided into four quarters which are alternately shaded and unshaded. The wheel rolls at a constant speed along a path consisting of 7 unshaded stripes, each of length 1 meter, alternating with 7 shaded stripes, each of length 1 meter, for a total length of 14 meters. What is the percentage of time during which a shaded section of the wheel is touching a shaded part of the path?

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