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Goodwill and Other Intangible Assets - Finite-Lived Intangible Assets (Details) - USD ($)
$ in Thousands
Apr. 01, 2022
Oct. 01, 2021
Finite-Lived Intangible Assets [Line Items]    
Gross Amount $ 2,477,277 $ 3,207,002
Accumulated Amortization (450,175) (1,178,380)
Net Amount 2,027,102 2,028,622
Customer relationship assets    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 1,371,406 2,106,423
Accumulated Amortization (446,744) (1,173,092)
Net Amount 924,662 933,331
Trade names    
Finite-Lived Intangible Assets [Line Items]    
Gross Amount 1,105,871 1,100,579
Accumulated Amortization (3,431) (5,288)
Net Amount $ 1,102,440 $ 1,095,291