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Goodwill and Other Intangible Assets - Finite-Lived Intangible Assets (Details) - USD ($)
$ in Thousands
Mar. 29, 2024
Sep. 29, 2023
Finite-Lived Intangible Assets [Line Items]    
Gross Amount $ 2,323,058 $ 2,254,306
Accumulated Amortization (502,414) (449,833)
Net Amount 1,820,644 1,804,473
Customer relationship assets    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 1,146,519 1,116,771
Accumulated Amortization (476,235) (433,741)
Net Amount 670,284 683,030
Trade names    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 1,176,539 1,137,535
Accumulated Amortization (26,179) (16,092)
Net Amount $ 1,150,360 $ 1,121,443