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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