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Goodwill and Other Intangible Assets - Finite-Lived Intangible Assets (Details) - USD ($)
$ in Thousands
Dec. 27, 2024
Sep. 27, 2024
Finite-Lived Intangible Assets [Line Items]    
Gross Amount $ 2,410,489 $ 2,365,594
Accumulated Amortization (584,358) (560,992)
Net Amount 1,826,131 1,804,602
Customer relationship assets    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 1,212,430 1,168,108
Accumulated Amortization (537,861) (521,102)
Net Amount 674,569 647,006
Trade names    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 1,198,059 1,197,486
Accumulated Amortization (46,497) (39,890)
Net Amount $ 1,151,562 $ 1,157,596