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Stockholders' Equity (Recognized Stock-Based Compensation) (Details) - USD ($) $ in Thousands | 12 Months Ended
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Aug. 31, 2019 | Aug. 31, 2018 | Aug. 31, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Stock-based compensation expense | $ 61,346 | $ 98,511 | $ 48,544
Restricted stock units |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Stock-based compensation expense | 53,766 | 84,082 | 42,122
Employee stock purchase plan |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Stock-based compensation expense | 7,580 | 6,891 | 6,334
Other |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Stock-based compensation expense | $ 0 | $ 7,538 | $ 88

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