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Goodwill and Other Intangible Assets - Summary of Other Intangible Assets (Details) - USD ($)
$ in Thousands
Mar. 29, 2025
Sep. 28, 2024
Finite Lived Intangible Assets [Line Items]    
Other intangible assets, gross $ 649,451 $ 626,508
Accumulated amortization (558,594) (551,996)
Other intangible assets, net 90,857 74,512
Customer Relationships [Member]    
Finite Lived Intangible Assets [Line Items]    
Other intangible assets, gross [1] 596,429 577,486
Accumulated amortization (518,609) (513,053)
Non-compete Agreements [Member]    
Finite Lived Intangible Assets [Line Items]    
Other intangible assets, gross [1] 45,955 41,955
Accumulated amortization (36,698) (36,000)
Other [Member]    
Finite Lived Intangible Assets [Line Items]    
Other intangible assets, gross 7,067 7,067
Accumulated amortization $ (3,287) $ (2,943)
[1]

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