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Organization and Significant Accounting Policies - 401(k) Plans, Additional Information (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 28, 2024	Sep. 30, 2023	Sep. 24, 2022
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]
Employees benefit plan	$ 6.8	$ 7.9	$ 7.2
Class A common stock
Deferred Compensation Arrangement with Individual, Postretirement Benefits [Line Items]
401(k) matching contributions made in Class A common stock (in shares)	198,697	216,000	170,000

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Amount of discretionary contributions made by an employer to a defined contribution plan.

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Number of shares issued during the period to an employee benefit plan, such as a defined contribution or defined benefit plan.

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