Goodwill and Other Intangible Assets - Summary of Intangible Assets (Details) - USD ($) $ in Thousands	Feb. 23, 2019	Aug. 25, 2018
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 301,299	$ 297,218
Accumulated Amortization	223,692	214,734
Net Carrying Amount	77,607	82,484
Customer contracts
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	220,351	220,303
Accumulated Amortization	158,841	152,985
Net Carrying Amount	61,510	67,318
Other intangible assets
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	35,027	35,030
Accumulated Amortization	32,223	31,444
Net Carrying Amount	2,804	3,586
Software
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	45,921	41,885
Accumulated Amortization	32,628	30,305
Net Carrying Amount	$ 13,293	$ 11,580