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Goodwill and Other Intangible Assets - Schedule of Intangible Assets, Net (Details) - USD ($) $ in Thousands | Nov. 28, 2020 | Aug. 29, 2020
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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

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