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Share-Based Compensation (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Millions
3 Months Ended 6 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Mar. 31, 2018
Mar. 31, 2017
Share-Based Compensation (Textual) [Abstract]        
Pre-tax share-based compensation expense $ 10.2 $ 9.5 $ 18.8 $ 20.2
Stock options [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Grants ( in usd per share)     856 983
Wtd. Avg. Share Fair Value ( in usd per share)     $ 35.51 $ 25.39
Performance shares [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Grants ( in shares)     40 42
Wtd. Avg. Share Fair Value (in shares)     $ 219.04 $ 174.37
Restricted stock and restricted stock units [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Grants ( in shares)     34 46
Wtd. Avg. Share Fair Value (in shares)     $ 192.50 $ 135.84
Unrestricted stock [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Grants ( in shares)     7 8
Wtd. Avg. Share Fair Value (in shares)     $ 183.76 $ 128.35