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Stockholders' Equity (Stock-based Compensation Information) (Details) $ in Thousands | 6 Months Ended
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Feb. 28, 2021 USD ($)
Share-based Payment Arrangement [Abstract] |
Unrecognized stock-based compensation expense—restricted stock units | $ 58,206,000
Remaining weighted-average period for restricted stock units expense | 1 year 6 months

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