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Stock-Based Compensation and Shares Repurchases - Common Stock Shares Outstanding (Details) - shares
3 Months Ended 6 Months Ended
Feb. 28, 2019
Feb. 28, 2018
Feb. 28, 2019
Feb. 28, 2018
Increase (Decrease) in Stockholders' Equity [Roll Forward]        
Beginning Balance (in shares)     164,588,172  
Ending Balance (in shares) 152,878,329   152,878,329  
Common Stock        
Increase (Decrease) in Stockholders' Equity [Roll Forward]        
Beginning Balance (in shares) 157,986,896 176,305,660 164,588,172 177,727,653
Shares issued upon exercise of stock options (in shares) 11,348 154 11,348 29,688
Shares issued under employee stock purchase plan (in shares) 691,971 575,516 692,325 575,516
Vesting of restricted stock (in shares) 219,764 220,022 1,905,927 2,694,147
Purchases of treasury stock under employee stock plans (in shares) (57,389) (59,708) (464,836) (784,031)
Treasury shares purchased (in shares) (5,974,261) (4,978,414) (13,854,607) (8,179,743)
Ending Balance (in shares) 152,878,329 172,063,230 152,878,329 172,063,230