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Stockholders' Equity (Recognized Stock-Based Compensation) (Details) - USD ($) $ in Thousands, shares in Millions | 12 Months Ended
--- | ---
Aug. 31, 2020 | Aug. 31, 2019 | Aug. 31, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Stock-based compensation expense | $ 83,084 | $ 61,346 | $ 98,511
Stock-based compensation expense incremental amount |  |  | 24,900
Restricted stock units |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Stock-based compensation expense | 73,775 | 53,766 | $ 84,082
Share-based compensation award vested number (in shares) |  |  | 0.8
Employee stock purchase plan |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Stock-based compensation expense | 9,309 | 7,580 | $ 6,891
Other |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Stock-based compensation expense | $ 0 | $ 0 | $ 7,538

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