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Income Taxes (Narrative) (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2016
Sep. 30, 2015
Sep. 30, 2014
Sep. 30, 2013
Income Tax Disclosure [Abstract]        
U.S. federal statutory tax rate 35.00% 35.00% 35.00%  
Foreign statutory tax rate, minimum (as percent) 17.00%      
Income Tax Holiday [Line Items]        
Federal foreign tax credit carryforward $ 65.8      
Federal foreign tax credit carryforward, windfall benefit 4.8      
Federal research credit carryforward 3.3      
Tax credit carryforwards 64.2 $ 49.6    
Foreign loss carryforwards subject to expiration 26.8      
Decrease in valuation allowance 22.1      
Cumulative undistributed earnings 683.0      
U.S. income and foreign withholding taxes estimate 155.0      
Unrecognized tax benefits 12.9 10.3 $ 16.0 $ 21.6
Unrecognized tax benefits that would impact effective tax rate $ 12.6 10.0    
Foreign Tax Authority        
Income Tax Holiday [Line Items]        
Income tax holiday period 7 years      
Tax benefit of holidays, reduction 50.00%      
Net benefit of tax holidays $ 7.1 9.6 4.9  
Loss carryforwards 46.3      
Foreign Tax Authority | Air Products        
Income Tax Holiday [Line Items]        
Income tax payments 9.6 $ 14.3 $ 7.2  
State        
Income Tax Holiday [Line Items]        
Loss carryforwards $ 85.6