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Share-Based Compensation (Narratives) (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Sep. 30, 2015
Sep. 30, 2014
Sep. 30, 2013
Share-based Compensation Arrangement by Share-based Award [Line Items]      
Shares available for future grant 5,202,927    
Deferred Stock Units [Member]      
Share-based Compensation Arrangement by Share-based Award [Line Items]      
Number of units/shares granted 267,000    
Weighted-average grant date fair value of units/shares $ 166.46    
Cash payments made for deferred stock units $ 9.6 $ 2.1 $ 1.9
Unrecognized compensation costs $ 37.6    
Unrecognized compensation costs, period for recognition, years 2 years 4 months    
Fair value of deferred stock units paid $ 35.5 $ 31.8 $ 32.3
Deferred Stock Units [Member] | Minimum [Member]      
Share-based Compensation Arrangement by Share-based Award [Line Items]      
Vesting or deferral Period 2 years    
Deferred Stock Units [Member] | Maximum [Member]      
Share-based Compensation Arrangement by Share-based Award [Line Items]      
Vesting or deferral Period 5 years    
Director Deferred Stock Units [Member]      
Share-based Compensation Arrangement by Share-based Award [Line Items]      
Period after service in which to elect payment 10 years    
Market-Based Deferred Stock Unit [Member]      
Share-based Compensation Arrangement by Share-based Award [Line Items]      
Number of units/shares granted 119,272    
Vesting or deferral Period 3 years    
Weighted-average grant date fair value of units/shares $ 194.51    
Time-Based Deferred Stock Unit [Member]      
Share-based Compensation Arrangement by Share-based Award [Line Items]      
Number of units/shares granted 147,699    
Weighted-average grant date fair value of units/shares $ 143.81    
Employee Stock Options [Member]      
Share-based Compensation Arrangement by Share-based Award [Line Items]      
Exercisable period from grant date 10 years    
Vesting or deferral Period 3 years    
Weighted-average grant date fair value of stock option $ 37.19 $ 29.1 $ 19.85
Closing stock price $ 127.58    
Intrinsic value of stock options exercised $ 115.5 $ 125.3 $ 170.4
Unrecognized compensation costs $ 5.8    
Unrecognized compensation costs, period for recognition, years 1 year 8 months    
Cash received from option exercises $ 121.3    
Tax benefit realized from stock option exericses 40.1    
Excess tax benefit $ 27.4    
Restricted Stock [Member]      
Share-based Compensation Arrangement by Share-based Award [Line Items]      
Number of units/shares granted 20,000    
Weighted-average grant date fair value of units/shares $ 144.09    
Unrecognized compensation costs $ 4.5    
Unrecognized compensation costs, period for recognition, years 3 years 4 months    
Fair value of vested restricted stock $ 1.4 $ 12.1 $ 4.4
Restricted Stock [Member] | Minimum [Member]      
Share-based Compensation Arrangement by Share-based Award [Line Items]      
Vesting or deferral Period 1 year    
Restricted Stock [Member] | Maximum [Member]      
Share-based Compensation Arrangement by Share-based Award [Line Items]      
Vesting or deferral Period 4 years