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Share-Based Compensation (Narratives) (Details) - USD ($)
$ / shares in Units, $ in Millions
12 Months Ended
Sep. 30, 2016
Sep. 30, 2015
Sep. 30, 2014
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Shares available for future grant 4,840,837    
Deferred Stock Units [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of units/shares granted 284,000    
Weighted-average grant date fair value of units/shares $ 136.37    
Cash payments made for deferred stock units $ 2.9 $ 9.6 $ 2.1
Unrecognized compensation costs $ 41.4    
Unrecognized compensation costs, period for recognition, years 2 years 2 months    
Fair value of deferred stock units paid $ 41.6 $ 35.5 $ 31.8
Deferred Stock Units [Member] | Minimum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting or deferral Period 2 years    
Deferred Stock Units [Member] | Maximum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting or deferral Period 5 years    
Director Deferred Stock Units [Member]      
Share-based Compensation Arrangement by Share-based Payment 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 Payment Award [Line Items]      
Number of units/shares granted 130,167 119,272  
Vesting or deferral Period 3 years    
Weighted-average grant date fair value of units/shares $ 135.49 $ 194.51  
Time-Based Deferred Stock Unit [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of units/shares granted 153,792    
Weighted-average grant date fair value of units/shares $ 137.12    
Employee Stock Options [Member]      
Share-based Compensation Arrangement by Share-based Payment 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 $ 29.10
Closing stock price $ 150.34    
Intrinsic value of stock options exercised $ 115.3 $ 115.5 $ 125.3
Unrecognized compensation costs $ 1.1    
Unrecognized compensation costs, period for recognition, years 11 months    
Cash received from option exercises $ 141.3    
Tax benefit realized from stock option exericses 39.8    
Excess tax benefit $ 25.0    
Restricted Stock [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Number of units/shares granted 33,000    
Weighted-average grant date fair value of units/shares $ 138.00    
Unrecognized compensation costs $ 5.1    
Unrecognized compensation costs, period for recognition, years 2 years 7 months    
Fair value of vested restricted stock $ 4.3 $ 1.4 $ 12.1
Restricted Stock [Member] | Minimum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting or deferral Period 1 year    
Restricted Stock [Member] | Maximum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting or deferral Period 4 years    
Materials Technologies [Member] | Deferred Stock Units [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Unrecognized compensation costs $ 7.0