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Stockholders' Equity (Recognized Stock-Based Compensation) (Details) - USD ($)
$ in Millions
3 Months Ended
Nov. 30, 2021
Nov. 30, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Stock-based compensation expense $ 35 $ 34
Restricted stock units    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Stock-based compensation expense 32 32
Employee stock purchase plan    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Stock-based compensation expense $ 3 $ 2