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Summarized Financial Information of Equity Affiliates (Narrative) (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Apr. 19, 2015
Jun. 30, 2017
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Schedule of Equity Method Investments [Line Items]          
Dividends received from equity affiliates     $ 122.5 $ 99.5 $ 95.9
Investment in net assets of and advances to equity affiliates     1,277.2 1,286.9  
Goodwill associated with affiliate companies accounted for by equity method     42.4 45.8  
Reduction in equity affiliate income for impacts of the Tax Act     28.5    
Equity method investment impairment charge     0.0 79.5 0.0
Obligation for future contribution to equity affiliate     $ 94.4 94.4  
Abdullah Hashim Industrial Gases & Equipment Co., Ltd.          
Schedule of Equity Method Investments [Line Items]          
Equity method investment impairment charge   $ 79.5   79.5 [1]  
Ownership interest percentage     25.00%    
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     25.00%    
Oxygen and nitrogen supply agreement, term 20 years        
Obligation for future contribution to equity affiliate     $ 94.4 94.4  
Noncash transaction, increase to investment     0.0 0.0 $ 26.9
Total expected investment     100.0    
Foreign affiliates          
Schedule of Equity Method Investments [Line Items]          
Investment in net assets of and advances to equity affiliates     $ 1,276.0 $ 1,285.1  
[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 year 2018 requiring reassessment of our investment. For additional information, see Note 8, Summarized Financial Information of Equity Affiliates.