Goodwill and Other Intangible Assets - Summary of Other Intangible Assets (Details) - USD ($) $ in Thousands		Jun. 29, 2024	Sep. 30, 2023
Finite Lived Intangible Assets [Line Items]
Other intangible assets, gross		$ 626,213	$ 620,254
Accumulated amortization		(548,833)	(539,701)
Other intangible assets, net		77,380	80,553
Customer Relationships [Member]
Finite Lived Intangible Assets [Line Items]
Other intangible assets, gross	[1]	577,191	572,347
Accumulated amortization		(510,328)	(502,436)
Non-compete Agreements [Member]
Finite Lived Intangible Assets [Line Items]
Other intangible assets, gross	[1]	41,955	40,840
Accumulated amortization		(35,735)	(35,011)
Other [Member]
Finite Lived Intangible Assets [Line Items]
Other intangible assets, gross		7,067	7,067
Accumulated amortization		$ (2,770)	$ (2,254)

[1] (1) Reflects the impact of the acquisitions; see Note 4, “Investments in and Acquisitions of Businesses.