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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

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