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Goodwill (Schedule of Goodwill Activity) (Details) - USD ($)
$ in Millions
9 Months Ended
Jun. 30, 2017
Sep. 30, 2016
Goodwill [Roll Forward]    
Goodwill $ 2,224.4 $ 2,057.2
Accumulated impairment losses (472.8) (472.8)
Goodwill, net 1,751.6 1,584.4
Goodwill related to acquisitions 164.3  
Currency translation effect 2.9  
Patient Support Systems [Member]    
Goodwill [Roll Forward]    
Goodwill 543.4 544.1
Accumulated impairment losses (472.8) (472.8)
Goodwill, net 70.6 71.3
Goodwill related to acquisitions (1.2)  
Currency translation effect 0.5  
Front Line Care [Member]    
Goodwill [Roll Forward]    
Goodwill 1,372.5 1,205.5
Accumulated impairment losses 0.0 0.0
Goodwill, net 1,372.5 1,205.5
Goodwill related to acquisitions 165.5  
Currency translation effect 1.5  
Surgical Solutions [Member]    
Goodwill [Roll Forward]    
Goodwill 308.5 307.6
Accumulated impairment losses 0.0 0.0
Goodwill, net 308.5 $ 307.6
Goodwill related to acquisitions 0.0  
Currency translation effect $ 0.9