Goodwill and Other Intangible Assets - Schedule of Intangible Assets, Net (Details) - USD ($) $ in Thousands	Aug. 29, 2020	Aug. 31, 2019
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 335,820	$ 305,207
Accumulated Amortization	250,284	232,487
Net Carrying Amount	85,536	72,720
Customer contracts
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	234,065	221,306
Accumulated Amortization	177,119	164,718
Net Carrying Amount	56,946	56,588
Software
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	66,014	48,838
Accumulated Amortization	39,020	34,813
Net Carrying Amount	26,994	14,025
Other intangible assets
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	35,741	35,063
Accumulated Amortization	34,145	32,956
Net Carrying Amount	$ 1,596	$ 2,107