Goodwill and Other Intangible Assets - Schedule of Intangible Assets, Net (Details) - USD ($) $ in Thousands	Nov. 28, 2020	Aug. 29, 2020
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 339,452	$ 335,820
Accumulated Amortization	254,302	250,284
Net Carrying Amount	85,150	85,536
Customer contracts
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	234,750	234,065
Accumulated Amortization	179,930	177,119
Net Carrying Amount	54,820	56,946
Software
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	68,924	66,014
Accumulated Amortization	40,003	39,020
Net Carrying Amount	28,921	26,994
Other intangible assets
Finite-Lived Intangible Assets [Line Items]
Gross Carrying Amount	35,778	35,741
Accumulated Amortization	34,369	34,145
Net Carrying Amount	$ 1,409	$ 1,596