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Goodwill and Other Intangible Assets - Summary of Other Intangible Assets (Details) - USD ($)
$ in Thousands
Jun. 27, 2020
Sep. 28, 2019
Finite Lived Intangible Assets [Line Items]    
Other intangible assets, gross $ 557,333 $ 544,566
Accumulated amortization (458,990) (416,129)
Other intangible assets, net 98,343 128,437
Customer Relationships [Member]    
Finite Lived Intangible Assets [Line Items]    
Other intangible assets, gross [1] 517,676 507,159
Accumulated amortization (425,775) (384,507)
Non-compete Agreements [Member]    
Finite Lived Intangible Assets [Line Items]    
Other intangible assets, gross [1] 37,690 35,440
Accumulated amortization (31,706) (30,181)
Other [Member]    
Finite Lived Intangible Assets [Line Items]    
Other intangible assets, gross 1,967 1,967
Accumulated amortization $ (1,509) $ (1,441)
[1] Reflects the impact from acquisitions (See Note 4, “Acquisitions of Businesses”).