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Goodwill and Other Intangible Assets - Finite-Lived Intangible Assets (Details) - USD ($)
$ in Thousands
Dec. 30, 2022
Sep. 30, 2022
Finite-Lived Intangible Assets [Line Items]    
Gross Amount $ 2,616,797 $ 2,608,324
Accumulated Amortization (526,547) (494,598)
Net Amount 2,090,250 2,113,726
Customer relationship assets    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 1,474,574 1,474,588
Accumulated Amortization (517,795) (487,877)
Net Amount 956,779 986,711
Trade names    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 1,142,223 1,133,736
Accumulated Amortization (8,752) (6,721)
Net Amount $ 1,133,471 $ 1,127,015