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Share-Based Compensation (Details Textuals) - USD ($)
$ / shares in Units, shares in Thousands, $ in Millions
12 Months Ended
Sep. 30, 2017
Sep. 30, 2016
Sep. 30, 2015
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract]      
Pre-tax share-based compensation expense $ 38.5 $ 40.5 $ 41.5
Income tax benefit related to share-based compensation expense, Total 12.3 $ 12.9 $ 13.2
Unrecognized compensation cost related to share-based compensation awards, net of estimated forfeitures, Total $ 34.6    
Weighted average period for recognition of total unrecognized compensation cost 1 year 8 months    
Stock options [Member]      
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract]      
Expiration period 10 years    
Vesting period 3 years    
Per share weighted average fair value of stock options granted $ 25.70 $ 21.28 $ 26.70
Total intrinsic value of stock options exercised $ 141.1 $ 21.9 $ 46.1
Performance shares [Member]      
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract]      
Vesting period 3 years    
Payout percentage 10.00% 93.00% 187.00%
Payout percentage in December 2016 for performance period ending September 30, 2016 187.00%    
Maximum potential shares to be delivered in payment under performance share awards 139    
Granted, shares 42    
Vested shares, Total Fair Value $ 0.9 $ 7.1 $ 17.2
Weighted average grant date fair value of awards granted $ 174.37 $ 87.64 $ 103.70
Performance shares [Member] | Minimum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract]      
Payout percentage 0.00%    
Performance shares [Member] | Maximum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract]      
Payout percentage 200.00%    
Restricted stock and restricted stock units [Member]      
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract]      
Granted, shares 52    
Vested shares, Total Fair Value $ 7.6 $ 7.0 $ 8.0
Weighted average grant date fair value of awards granted $ 138.32 $ 105.38 $ 115.02
Restricted stock and restricted stock units [Member] | Minimum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract]      
Vesting period 1 year    
Restricted stock and restricted stock units [Member] | Maximum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract]      
Vesting period 5 years    
Unrestricted stock [Member]      
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract]      
Granted, shares 8    
Weighted average grant date fair value of awards granted $ 129.68 $ 98.79 $ 111.43
2012 Long Term Incentive Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract]      
Shares authorized 11,800    
Shares available for grant 5,600    
2003 Directors Stock Incentive Plan [Member]      
Share-based Compensation Arrangement by Share-based Payment Award, Additional General Disclosures [Abstract]      
Shares authorized 500    
Shares available for grant 200