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Stockholders' Equity - Common Stock Outstanding (Details) - USD ($)
3 Months Ended 6 Months Ended
Feb. 28, 2023
Feb. 28, 2022
Feb. 28, 2023
Feb. 28, 2022
Sep. 30, 2022
Jul. 31, 2021
Common stock outstanding:            
Common stock outstanding, beginning balances (in shares)     135,493,980      
Common stock outstanding, ending balance (in shares) 133,238,368   133,238,368      
2022 Share Repurchase Program            
Common stock outstanding:            
Share repurchase program, amount authorized           $ 1,000,000,000
Number of shares repurchased (in shares)     16,500,000      
Value of shares repurchased     $ 1,000,000,000      
Share repurchase program, remaining amount available $ 0   $ 0      
2023 Share Repurchase Program            
Common stock outstanding:            
Share repurchase program, amount authorized         $ 1,000,000,000  
Number of shares repurchased (in shares)     300,000      
Value of shares repurchased     $ 25,000,000      
Share repurchase program, remaining amount available $ 975,000,000   $ 975,000,000      
Common stock:            
Common stock outstanding:            
Common stock outstanding, beginning balances (in shares) 134,231,300 144,166,009 135,493,980 144,496,077    
Shares issued under employee stock purchase plan (in shares) 629,336 520,483 629,336 520,483    
Vesting of restricted stock (in shares) 148,718 28,243 2,010,396 2,453,715    
Purchases of treasury stock under employee stock plans (in shares) (47,242) (9,719) (570,649) (700,274)    
Treasury shares purchased (in shares) (1,723,744) (2,312,881) (4,324,695) (4,377,866)    
Common stock outstanding, ending balance (in shares) 133,238,368 142,392,135 133,238,368 142,392,135