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Stockholders' Equity (Recognized Stock-Based Compensation) (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
May 31, 2020
May 31, 2019
May 31, 2020
May 31, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock-based compensation expense $ 16,882 $ 14,506 $ 62,214 $ 47,452
Restricted stock units        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock-based compensation expense 14,299 12,592 54,783 41,247
Employee stock purchase plan        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock-based compensation expense $ 2,583 $ 1,914 $ 7,431 $ 6,205