Goodwill and Other Intangible Assets - Schedule of Intangible Assets, Net (Details) - USD ($) $ in Thousands	Aug. 30, 2025	Aug. 31, 2024
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 439,810	$ 435,754
Accumulated Amortization	333,981	315,755
Net Carrying Amount	105,829	119,999
Customer Contracts
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	318,148	314,446
Accumulated Amortization	243,364	228,456
Net Carrying Amount	74,784	85,990
Software
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	81,659	81,482
Accumulated Amortization	52,355	51,023
Net Carrying Amount	29,304	30,459
Other Intangible Assets
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	40,003	39,826
Accumulated Amortization	38,262	36,276
Net Carrying Amount	$ 1,741	$ 3,550