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Goodwill (Schedule of Goodwill Activity) (Details) - USD ($)
$ in Millions
6 Months Ended
Mar. 31, 2017
Sep. 30, 2016
Goodwill [Roll Forward]    
Goodwill $ 2,216.4 $ 2,057.2
Accumulated impairment losses (472.8) (472.8)
Goodwill, net 1,743.6 1,584.4
Goodwill related to acquisitions 166.9  
Currency translation effect (7.7)  
Patient Support Systems [Member]    
Goodwill [Roll Forward]    
Goodwill 541.4 544.1
Accumulated impairment losses (472.8) (472.8)
Goodwill, net 68.6 71.3
Goodwill related to acquisitions (1.2)  
Currency translation effect (1.5)  
Front Line Care [Member]    
Goodwill [Roll Forward]    
Goodwill 1,371.5 1,205.5
Accumulated impairment losses 0.0 0.0
Goodwill, net 1,371.5 1,205.5
Goodwill related to acquisitions 168.1  
Currency translation effect (2.1)  
Surgical Solutions [Member]    
Goodwill [Roll Forward]    
Goodwill 303.5 307.6
Accumulated impairment losses 0.0 0.0
Goodwill, net 303.5 $ 307.6
Goodwill related to acquisitions 0.0  
Currency translation effect $ (4.1)