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Goodwill (Schedule of Goodwill by Segment) (Details)
$ in Millions
9 Months Ended
Jun. 30, 2018
USD ($)
Goodwill [Roll Forward]  
Goodwill, net, beginning balance $ 721.5
Acquisitions 81.4
Currency translation (8.8)
Goodwill, net, ending balance 794.1
Industrial Gases - Americas  
Goodwill [Roll Forward]  
Goodwill, net, beginning balance 163.7
Acquisitions 0.0
Currency translation (1.4)
Goodwill, net, ending balance 162.3
Industrial Gases - EMEA  
Goodwill [Roll Forward]  
Goodwill, net, beginning balance 402.4
Acquisitions 30.8
Currency translation (7.7)
Goodwill, net, ending balance 425.5
Industrial Gases - Asia  
Goodwill [Roll Forward]  
Goodwill, net, beginning balance 135.2
Acquisitions 39.8
Currency translation 0.3
Goodwill, net, ending balance 175.3
Industrial Gases - Global  
Goodwill [Roll Forward]  
Goodwill, net, beginning balance 20.2
Acquisitions 0.0
Currency translation 0.0
Goodwill, net, ending balance 20.2
Corporate and other  
Goodwill [Roll Forward]  
Goodwill, net, beginning balance 0.0
Acquisitions 10.8
Currency translation 0.0
Goodwill, net, ending balance $ 10.8