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Share-Based Compensation - Summary of Performance Share and Restricted Stock Unit Activty (Details) - $ / shares
shares in Thousands
12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Performance shares      
Shares / Units (in thousands)      
Outstanding shares, beginning balance (in shares) 190    
Granted (in shares) 40    
Adjustment for performance results achieved (in shares) 64    
Vested and issued (in shares) (139) (6) (67)
Forfeited (in shares) (5)    
Outstanding shares, ending balance (in shares) 150 190  
Wtd. Avg. Grant Date Share Fair Value      
Outstanding, beginning balance (in dollars per share) $ 112.64    
Granted (in dollars per share) 219.04 $ 174.37 $ 87.64
Adjustment for performance results achieved (in dollars per share) 190.46    
Vested and issued (in dollars per share) 144.07    
Forfeited (in dollars per share) 152.93    
Outstanding, ending balance (in dollars per share) $ 143.94 $ 112.64  
Restricted stock and restricted stock units      
Shares / Units (in thousands)      
Outstanding shares, beginning balance (in shares) 141    
Granted (in shares) 47    
Vested and issued (in shares) (38)    
Forfeited (in shares) (4)    
Outstanding shares, ending balance (in shares) 146 141  
Wtd. Avg. Grant Date Share Fair Value      
Outstanding, beginning balance (in dollars per share) $ 118.87    
Granted (in dollars per share) 188.41 $ 138.32 $ 105.38
Vested and issued (in dollars per share) 115.19    
Forfeited (in dollars per share) 142.33    
Outstanding, ending balance (in dollars per share) $ 141.35 $ 118.87