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Summarized Financial Information of Equity Affiliates (Narrative) (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
May 01, 2019
Apr. 19, 2015
Jun. 30, 2017
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
May 02, 2019
Schedule of Equity Method Investments [Line Items]              
Dividends received from equity affiliates       $ 144.3 $ 122.5 $ 99.5  
Investment in net assets of and advances to equity affiliates       1,276.2 1,277.2    
Goodwill associated with affiliate companies accounted for by equity method       42.8 42.4    
Reduction in equity affiliate income for impacts of the Tax Act         28.5    
Equity method investment impairment charge       0.0 0.0 79.5  
Obligation for future contribution to equity affiliate       0.0 94.4    
Obligation for future contribution to equity affiliate to be funded in next twelve months       94.4 0.0    
Foreign affiliates              
Schedule of Equity Method Investments [Line Items]              
Investment in net assets of and advances to equity affiliates       $ 1,275.4 $ 1,276.0    
High-Tech Gases (Beijing) Co., Ltd.              
Schedule of Equity Method Investments [Line Items]              
Ownership interest percentage         50.00%   0.00%
Decrease in ownership interest in exchange transaction (percent) 50.00%            
WuXi Hi-Tech Gas Co., Ltd.              
Schedule of Equity Method Investments [Line Items]              
Ownership interest percentage         50.00%    
Interest acquired in exchange transaction (percent) 50.00%            
Ownership interest subsequent to acquisition date (percent)             100.00%
Abdullah Hashim Industrial Gases & Equipment Co., Ltd.              
Schedule of Equity Method Investments [Line Items]              
Ownership interest percentage       25.00%      
Equity method investment impairment charge     $ 79.5     $ 79.5 [1]  
Abdullah Hashim Industrial Gases & Equipment Co., Ltd. | Industrial Gases - EMEA              
Schedule of Equity Method Investments [Line Items]              
Ownership interest percentage       25.00%      
Jazan Gas Projects Company              
Schedule of Equity Method Investments [Line Items]              
Ownership interest percentage       26.00%      
Oxygen and nitrogen supply agreement, term   20 years          
Obligation for future contribution to equity affiliate         $ 94.4    
Obligation for future contribution to equity affiliate to be funded in next twelve months       $ 94.4      
[1] In fiscal year 2017, we assessed the recoverability of the carrying value of our equity investment in AHG. We estimated the fair value of our investment using weighting of the results of the income and market approaches. An impairment loss was recognized for the difference between the carrying amount and the fair value of the investment as of 30 June 2017. There have been no events during fiscal years 2018 or 2019 requiring reassessment of our investment. For additional information, see Note 9, Summarized Financial Information of Equity Affiliates.