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Share-Based Compensation (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Millions
3 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Share-Based Compensation (Textual) [Abstract]    
Pre-tax share-based compensation expense $ 8.6 $ 10.7
Stock options [Member]    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Grants (usd per share) 837 943
Wtd. Avg. Share Fair Value (usd per share) $ 35.54 $ 25.27
Performance shares [Member]    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Grants (shares) 40 42
Wtd. Avg. Share Fair Value (shares) $ 219.04 $ 174.37
Restricted stock and restricted stock units [Member]    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Grants (shares) 31 41
Wtd. Avg. Share Fair Value (shares) $ 192.70 $ 135.17
Unrestricted stock [Member]    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Grants (shares) 5 6
Wtd. Avg. Share Fair Value (shares) $ 180.70 $ 120.57