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Nature of Business, Basis of Presentation and Summary of Significant Accounting Policies - Other Accrued Expenses and Liabilities (Details) - USD ($) $ in Thousands | Sep. 27, 2024 | Sep. 29, 2023
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Organization, Consolidation and Presentation of Financial Statements [Abstract] |  |
Deferred income | $ 370,800 | $ 350,200
Accrued client expenses | 220,387 | 208,336
Accrued taxes | 67,205 | 79,884
Accrued insurance and interest | 160,133 | 186,783
Other | 464,317 | 463,251
Accrued expenses and other current liabilities | 1,282,842 | 1,288,454
Consideration received from customers prior to service being performed | 352,500 | 329,900
Consideration received from vendors prior to goods being consumed | $ 18,300 | $ 20,300

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