Goodwill and Other Intangible Assets - Summary of Other Intangible Assets (Details) - USD ($) $ in Thousands		Mar. 28, 2020	Sep. 28, 2019
Finite Lived Intangible Assets [Line Items]
Other intangible assets, gross		$ 557,333	$ 544,566
Accumulated amortization		(444,752)	(416,129)
Other intangible assets, net		112,581	128,437
Customer Relationships [Member]
Finite Lived Intangible Assets [Line Items]
Other intangible assets, gross	[1]	517,676	507,159
Accumulated amortization		(412,008)	(384,507)
Non-compete Agreements [Member]
Finite Lived Intangible Assets [Line Items]
Other intangible assets, gross	[1]	37,690	35,440
Accumulated amortization		(31,257)	(30,181)
Other [Member]
Finite Lived Intangible Assets [Line Items]
Other intangible assets, gross		1,967	1,967
Accumulated amortization		$ (1,487)	$ (1,441)

[1] Reflects the impact from acquisitions (See Note 4, “Acquisitions of Businesses”).