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Goodwill and Other Intangible Assets - Finite-Lived Intangible Assets (Details) - USD ($)
$ in Thousands
Jun. 28, 2024
Sep. 29, 2023
Finite-Lived Intangible Assets [Line Items]    
Gross Amount $ 2,331,768 $ 2,254,306
Accumulated Amortization (529,592) (449,833)
Net Amount 1,802,176 1,804,473
Customer relationship assets    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 1,155,997 1,116,771
Accumulated Amortization (496,944) (433,741)
Net Amount 659,053 683,030
Trade names    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 1,175,771 1,137,535
Accumulated Amortization (32,648) (16,092)
Net Amount $ 1,143,123 $ 1,121,443