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Stockholders' Equity (Common Stock Outstanding) (Details) - USD ($)
 12 Months Ended
Aug. 31, 2019
Aug. 31, 2018
Aug. 31, 2017
Aug. 31, 2016
Increase (Decrease) in Stockholders' Equity [Roll Forward]        
Common stock outstanding, beginning balances (in shares) 164,588,172      
Common stock outstanding, ending balance (in shares) 153,520,380 164,588,172    
Share repurchase program, amount authorized   $ 350,000,000 $ 450,000,000 $ 400,000,000
Common Stock        
Increase (Decrease) in Stockholders' Equity [Roll Forward]        
Common stock outstanding, beginning balances (in shares) 164,588,172 177,727,653 186,998,472  
Shares issued upon exercise of stock options (in shares) 11,348 30,832 172,620  
Shares issued under employee stock purchase plan (in shares) 1,282,042 1,105,400 1,228,316  
Vesting of restricted stock (in shares) 1,983,261 2,727,229 2,102,049  
Purchases of treasury stock under employee stock plans (in shares) (489,836) (793,052) (550,096)  
Treasury shares purchased (in shares) (13,854,607) (16,209,890) (12,223,708)  
Common stock outstanding, ending balance (in shares) 153,520,380 164,588,172 177,727,653