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Stockholders' Equity (Recognized Stock-Based Compensation) (Details) - USD ($) $ in Thousands | 3 Months Ended | 6 Months Ended
--- | --- | ---
Feb. 29, 2020 | Feb. 28, 2019 | Feb. 29, 2020 | Feb. 28, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Stock-based compensation expense | $ 15,109 | $ 15,697 | $ 45,332 | $ 32,946
Restricted stock units |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Stock-based compensation expense | 12,301 | 13,604 | 40,484 | 28,655
Employee stock purchase plan |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |
Stock-based compensation expense | $ 2,808 | $ 2,093 | $ 4,848 | $ 4,291

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