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Goodwill and Other Intangible Assets - Schedule of Intangible Assets, Net (Details) - USD ($)
$ in Thousands
Nov. 30, 2019
Aug. 31, 2019
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount $ 324,374 $ 305,207
Accumulated Amortization 236,862 232,487
Net Carrying Amount 87,512 72,720
Customer contracts    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount 232,302 221,306
Accumulated Amortization 167,712 164,718
Net Carrying Amount 64,590 56,588
Software    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount 56,397 48,838
Accumulated Amortization 35,878 34,813
Net Carrying Amount 20,519 14,025
Other intangible assets    
Finite-Lived Intangible Assets [Line Items]    
Gross Carrying Amount 35,675 35,063
Accumulated Amortization 33,272 32,956
Net Carrying Amount $ 2,403 $ 2,107