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Goodwill (Schedule of Goodwill by Segment) (Details)
$ in Millions
6 Months Ended
Mar. 31, 2018
USD ($)
Goodwill [Roll Forward]  
Goodwill, net, beginning balance $ 721.5
Acquisitions 62.9
Currency translation 30.6
Goodwill, net, ending balance 815.0
Industrial Gases - Americas  
Goodwill [Roll Forward]  
Goodwill, net, beginning balance 163.7
Acquisitions 0.0
Currency translation 3.5
Goodwill, net, ending balance 167.2
Industrial Gases - EMEA  
Goodwill [Roll Forward]  
Goodwill, net, beginning balance 402.4
Acquisitions 27.7
Currency translation 22.0
Goodwill, net, ending balance 452.1
Industrial Gases - Asia  
Goodwill [Roll Forward]  
Goodwill, net, beginning balance 135.2
Acquisitions 35.2
Currency translation 5.0
Goodwill, net, ending balance 175.4
Industrial Gases - Global  
Goodwill [Roll Forward]  
Goodwill, net, beginning balance 20.2
Acquisitions 0.0
Currency translation 0.1
Goodwill, net, ending balance $ 20.3