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Goodwill and Other Intangible Assets - Summary of Other Intangible Assets (Details) - USD ($)
$ in Thousands
Dec. 28, 2024
Sep. 28, 2024
Finite Lived Intangible Assets [Line Items]    
Other intangible assets, gross $ 647,027 $ 626,508
Accumulated amortization (555,503) (551,996)
Other intangible assets, net 91,524 74,512
Customer Relationships [Member]    
Finite Lived Intangible Assets [Line Items]    
Other intangible assets, gross [1] 594,005 577,486
Accumulated amortization (516,055) (513,053)
Non-compete Agreements [Member]    
Finite Lived Intangible Assets [Line Items]    
Other intangible assets, gross [1] 45,955 41,955
Accumulated amortization (36,333) (36,000)
Other [Member]    
Finite Lived Intangible Assets [Line Items]    
Other intangible assets, gross 7,067 7,067
Accumulated amortization $ (3,115) $ (2,943)
[1]

(1) Reflects the impact from acquisitions (See Note 4).