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Stockholders' Equity - Common Stock Outstanding (Details) - USD ($)
12 Months Ended
Aug. 31, 2022
Aug. 31, 2021
Aug. 31, 2020
Sep. 30, 2022
Jul. 31, 2021
Increase (Decrease) in Stockholders' Equity [Roll Forward]          
Common stock outstanding, beginning balances (in shares) 144,496,077        
Common stock outstanding, ending balance (in shares) 135,493,980 144,496,077      
2022 Share Repurchase Program          
Increase (Decrease) in Stockholders' Equity [Roll Forward]          
Authorized repurchase of common stock under share repurchase programs         $ 1,000,000,000
Number of shares repurchased (in shares) 12,400,000        
Value of shares repurchased $ 737,000,000        
Share repurchase program, remaining amount available $ 263,000,000        
2023 Share Repurchase Program | Subsequent Event          
Increase (Decrease) in Stockholders' Equity [Roll Forward]          
Authorized repurchase of common stock under share repurchase programs       $ 1,000,000,000  
Common Stock          
Increase (Decrease) in Stockholders' Equity [Roll Forward]          
Common stock outstanding, beginning balances (in shares) 144,496,077 150,330,358 153,520,380    
Shares issued upon exercise of stock options (in shares) 0 9,321 56,999    
Shares issued under employee stock purchase plan (in shares) 970,480 1,288,397 1,106,852    
Vesting of restricted stock (in shares) 2,503,143 2,290,104 2,259,623    
Purchases of treasury stock under employee stock plans (in shares) (713,667) (622,703) (621,250)    
Treasury shares purchased (in shares) (11,762,053) (8,799,400) (5,992,246)    
Common stock outstanding, ending balance (in shares) 135,493,980 144,496,077 150,330,358