Goodwill (Schedule of Goodwill Activity) (Details) - USD ($) $ in Millions	6 Months Ended
	Mar. 31, 2018	Sep. 30, 2017
Goodwill [Roll Forward]
Goodwill	$ 2,227.0	$ 2,232.4
Accumulated impairment losses	(472.8)	(472.8)
Goodwill, net	1,754.2	1,759.6
Goodwill related to acquisitions	0.8
Goodwill, Written Off Related to Deconsolidation of VIE	(13.2)
Currency translation effect	7.0
Patient Support Systems [Member]
Goodwill [Roll Forward]
Goodwill	546.3	545.0
Accumulated impairment losses	(472.8)	(472.8)
Goodwill, net	73.5	72.2
Goodwill, Acquired During Period And Purchase Accounting Adjustments	0.0
Goodwill, Written Off Related to Deconsolidation of VIE	0.0
Currency translation effect	1.3
Front Line Care [Member]
Goodwill [Roll Forward]
Goodwill	1,377.4	1,375.6
Accumulated impairment losses	0.0	0.0
Goodwill, net	1,377.4	1,375.6
Goodwill, Acquired During Period And Purchase Accounting Adjustments	0.8
Goodwill, Written Off Related to Deconsolidation of VIE	0.0
Currency translation effect	1.0
Surgical Solutions [Member]
Goodwill [Roll Forward]
Goodwill	303.3	311.8
Accumulated impairment losses	0.0	0.0
Goodwill, net	303.3	$ 311.8
Goodwill, Acquired During Period And Purchase Accounting Adjustments	0.0
Goodwill, Written Off Related to Deconsolidation of VIE	(13.2)
Currency translation effect	$ 4.7