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Share-Based Compensation (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Millions
3 Months Ended 9 Months Ended
Jun. 30, 2018
Jun. 30, 2017
Jun. 30, 2018
Jun. 30, 2017
Share-Based Compensation (Textual) [Abstract]        
Pre-tax share-based compensation expense $ 9.9 $ 9.2 $ 28.6 $ 29.4
Stock options [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Grants (in shares)     865 1,001
Wtd. Avg. Share Fair Value (usd per share)     $ 35.46 $ 25.49
Performance shares [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Grants (in shares)     40 42
Wtd. Avg. Share Fair Value (usd per share)     $ 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)     45 51
Wtd. Avg. Share Fair Value (usd per share)     $ 188.98 $ 138.35
Unrestricted stock [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Grants (in shares)     7 8
Wtd. Avg. Share Fair Value (usd per share)     $ 183.76 $ 128.35