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Stockholders' Equity (Recognized Stock-Based Compensation) (Details) - USD ($)
$ in Thousands
3 Months Ended
Nov. 30, 2020
Nov. 30, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Stock-based compensation expense $ 33,541 $ 30,223
Restricted stock units    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Stock-based compensation expense 31,273 28,183
Employee stock purchase plan    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Stock-based compensation expense $ 2,268 $ 2,040