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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. 29, 2023 | Sep. 30, 2022
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Organization, Consolidation and Presentation of Financial Statements [Abstract] |  |
Deferred income | $ 360,936 | $ 346,954
Accrued client expenses | 212,303 | 172,894
Accrued taxes | 91,971 | 58,988
Accrued insurance and interest | 194,830 | 184,676
Other | 501,826 | 408,559
Accrued expenses and other current liabilities | 1,361,866 | 1,172,071
Consideration received from customers prior to service being performed | 340,600 | 324,500
Consideration received from vendors prior to goods being consumed | $ 20,300 | $ 22,400

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