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Goodwill and Other Intangible Assets - Summary of Other Intangible Assets (Details) - USD ($)
$ in Thousands
Sep. 28, 2024
Sep. 30, 2023
Finite Lived Intangible Assets [Line Items]    
Other intangible assets, gross $ 626,508 $ 620,254
Accumulated amortization (551,996) (539,701)
Other intangible assets, net 74,512 80,553
Customer Relationships [Member]    
Finite Lived Intangible Assets [Line Items]    
Other intangible assets, gross [1] 577,486 572,347
Accumulated amortization (513,053) (502,436)
Noncompete Agreements [Member]    
Finite Lived Intangible Assets [Line Items]    
Other intangible assets, gross [1] 41,955 40,840
Accumulated amortization (36,000) (35,011)
Other Intangible Assets [Member]    
Finite Lived Intangible Assets [Line Items]    
Other intangible assets, gross 7,067 7,067
Accumulated amortization $ (2,943) $ (2,254)
[1] Reflects the impact from acquisitions (See Note 4).