Goodwill and Other Intangible Assets - Schedule of Intangible Assets, Net (Details) - USD ($) $ in Thousands	Aug. 31, 2019	Aug. 25, 2018
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 305,207	$ 297,218
Accumulated Amortization	232,487	214,734
Net Carrying Amount	72,720	82,484
Customer contracts
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	221,306	220,303
Accumulated Amortization	164,718	152,985
Net Carrying Amount	56,588	67,318
Software
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	48,838	41,885
Accumulated Amortization	34,813	30,305
Net Carrying Amount	14,025	11,580
Other intangible assets
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	35,063	35,030
Accumulated Amortization	32,956	31,444
Net Carrying Amount	$ 2,107	$ 3,586