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Goodwill (Schedule of Goodwill by Segment) (Details)
$ in Millions
6 Months Ended
Mar. 31, 2019
USD ($)
Goodwill [Roll Forward]  
Goodwill, net, beginning balance $ 788.9
Acquisitions 38.0
Currency translation (15.0)
Goodwill, net, ending balance 811.9
Industrial Gases - Americas  
Goodwill [Roll Forward]  
Goodwill, net, beginning balance 162.1
Acquisitions 0.0
Currency translation (2.0)
Goodwill, net, ending balance 160.1
Industrial Gases - EMEA  
Goodwill [Roll Forward]  
Goodwill, net, beginning balance 424.4
Acquisitions 38.0
Currency translation (13.4)
Goodwill, net, ending balance 449.0
Industrial Gases - Asia  
Goodwill [Roll Forward]  
Goodwill, net, beginning balance 171.9
Acquisitions 0.0
Currency translation 0.3
Goodwill, net, ending balance 172.2
Industrial Gases - Global  
Goodwill [Roll Forward]  
Goodwill, net, beginning balance 20.1
Acquisitions 0.0
Currency translation (0.2)
Goodwill, net, ending balance 19.9
Corporate and other  
Goodwill [Roll Forward]  
Goodwill, net, beginning balance 10.4
Acquisitions 0.0
Currency translation 0.3
Goodwill, net, ending balance $ 10.7