Goodwill and Indefinite-Lived Intangible Assets (Schedule of Goodwill Activity) (Details) - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2017	Sep. 30, 2016	Sep. 30, 2015
Goodwill [Line Items]
Goodwill	$ 2,232.4	$ 2,057.2	$ 2,083.3
Accumulated impairment losses	(472.8)	(472.8)	(472.8)
Goodwill [Roll Forward]
Goodwill, net	1,584.4	1,610.5
Goodwill related to acquisitions	164.3	(14.7)
Currency translation effect	10.9	(11.4)
Goodwill, net	1,759.6	1,584.4
Patient Support Systems [Member]
Goodwill [Line Items]
Goodwill	545.0	544.1	536.0
Accumulated impairment losses	(472.8)	(472.8)	(472.8)
Goodwill [Roll Forward]
Goodwill, net	71.3	63.2
Goodwill related to acquisitions	(0.5)	7.9
Currency translation effect	1.4	0.2
Goodwill, net	72.2	71.3
Front Line Care [Member]
Goodwill [Line Items]
Goodwill	1,375.6	1,205.5	1,232.2
Accumulated impairment losses	0.0	0.0	0.0
Goodwill [Roll Forward]
Goodwill, net	1,205.5	1,232.2
Goodwill related to acquisitions	164.8	(23.7)
Currency translation effect	5.3	(3.0)
Goodwill, net	1,375.6	1,205.5
Surgical Solutions [Member]
Goodwill [Line Items]
Goodwill	311.8	307.6	315.1
Accumulated impairment losses	0.0	0.0	$ 0.0
Goodwill [Roll Forward]
Goodwill, net	307.6	315.1
Goodwill related to acquisitions	0.0	1.1
Currency translation effect	4.2	(8.6)
Goodwill, net	$ 311.8	$ 307.6