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Goodwill (Schedule of Goodwill by Segment) (Details)
$ in Millions
3 Months Ended
Dec. 31, 2017
USD ($)
Goodwill [Roll Forward]  
Goodwill, net, beginning balance $ 721.5
Acquisitions 53.7
Currency translation 15.6
Goodwill, net, ending balance 790.8
Industrial Gases - Americas  
Goodwill [Roll Forward]  
Goodwill, net, beginning balance 163.7
Acquisitions 0.0
Currency translation 2.3
Goodwill, net, ending balance 166.0
Industrial Gases - EMEA  
Goodwill [Roll Forward]  
Goodwill, net, beginning balance 402.4
Acquisitions 17.3
Currency translation 10.9
Goodwill, net, ending balance 430.6
Industrial Gases - Asia  
Goodwill [Roll Forward]  
Goodwill, net, beginning balance 135.2
Acquisitions 36.4
Currency translation 2.5
Goodwill, net, ending balance 174.1
Industrial Gases - Global  
Goodwill [Roll Forward]  
Goodwill, net, beginning balance 20.2
Acquisitions 0.0
Currency translation (0.1)
Goodwill, net, ending balance $ 20.1