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Stockholders' Equity (Recognized Stock-Based Compensation) (Details) - USD ($) $ in Thousands | 12 Months Ended
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Aug. 31, 2018 | Aug. 31, 2017 | Aug. 31, 2016
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Stock-based compensation expense | $ 98,511 | $ 48,544 | $ 58,997
Restricted stock and stock appreciation rights (“SARS”) |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Stock-based compensation expense | 84,082 | 42,122 | 52,459
Employee stock purchase plan |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Stock-based compensation expense | 6,891 | 6,334 | 6,538
Other |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Stock-based compensation expense | $ 7,538 | $ 88 | $ 0

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