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Goodwill and Other Intangible Assets - Finite-Lived Intangible Assets (Details) - USD ($)
$ in Thousands
Dec. 29, 2023
Sep. 29, 2023
Finite-Lived Intangible Assets [Line Items]    
Gross Amount $ 2,300,768 $ 2,254,306
Accumulated Amortization (476,311) (449,833)
Net Amount 1,824,457 1,804,473
Customer relationship assets    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 1,158,560 1,116,771
Accumulated Amortization (456,546) (433,741)
Net Amount 702,014 683,030
Trade names    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 1,142,208 1,137,535
Accumulated Amortization (19,765) (16,092)
Net Amount $ 1,122,443 $ 1,121,443