Goodwill and Other Intangible Assets - Summary of Other Intangible Assets (Details) - USD ($) $ in Thousands	Dec. 30, 2023	Sep. 30, 2023
Finite Lived Intangible Assets [Line Items]
Other intangible assets, gross	$ 620,369	$ 620,254
Accumulated amortization	(542,698)	(539,701)
Other intangible assets, net	77,671	80,553
Customer Relationships [Member]
Finite Lived Intangible Assets [Line Items]
Other intangible assets, gross	572,347	572,347
Accumulated amortization	(505,035)	(502,436)
Non-compete Agreements [Member]
Finite Lived Intangible Assets [Line Items]
Other intangible assets, gross	40,955	40,840
Accumulated amortization	(35,237)	(35,011)
Other [Member]
Finite Lived Intangible Assets [Line Items]
Other intangible assets, gross	7,067	7,067
Accumulated amortization	$ (2,426)	$ (2,254)