Revenue Recognition (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Mar. 31, 2019	Mar. 31, 2018	Mar. 31, 2019	Mar. 31, 2018	Dec. 31, 2018	Oct. 01, 2018	Sep. 30, 2018	Dec. 31, 2017	Sep. 30, 2017
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	$ 636.5	$ 610.7	$ 1,248.1	$ 1,185.9
Retained Earnings (Accumulated Deficit)	1,935.2		1,935.2
Accounts Receivable, Net, Current	581.8		581.8			$ 609.8	$ 580.7
Other Assets, Current	118.4		118.4			122.0	100.2
Property, Plant and Equipment, Net	313.3		313.3			322.7	328.3
Deferred Tax Assets, Net of Valuation Allowance, Noncurrent	34.0		34.0			40.6	35.0
Other Assets, Noncurrent	94.4		94.4			78.5	75.1
Deferred Revenue	81.7		81.7			87.5	40.0
Revenue Deferred due to ASC 606 Initial Adoption			58.4
Deferred Revenue, Additions			114.3
Deferred Revenue, Revenue Recognized			(117.8)
Other Liabilities, Current	65.4		65.4			67.9	67.1
Other Liabilities, Noncurrent	73.2		73.2			51.3	40.4
Stockholders' Equity, Including Portion Attributable to Noncontrolling Interest	1,598.8	1,510.4	1,598.8	1,510.4	$ 1,551.5		1,616.2	$ 1,464.1	$ 1,365.6
Product sales and service revenue	714.2	710.5	1,397.7	1,380.2
Rental revenue	77.7	99.8	149.6	194.3
Cost of Goods and Services Sold	322.7	313.7	639.0	617.8
Rental expenses	38.9	46.4	76.1	92.4
Income tax expense (benefit)	11.2	(7.0)	18.6	(64.5)
Net Income (Loss), Including Portion Attributable to Noncontrolling Interest	(49.5)	(28.5)	(91.7)	(116.8)
Capitalized Contract Cost, Impairment Loss	7.6		7.6
Capitalized Contract Cost, Amortization	3.1		6.5
Accounting Standards Update 2014-09 [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Cumulative Effect on Retained Earnings, Net of Tax	49.5		(4.9)
Cumulative Effect on Retained Earnings, Tax			4.8
Retained Earnings [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Stockholders' Equity, Including Portion Attributable to Noncontrolling Interest	1,935.2	1,767.6	1,935.2	1,767.6	$ 1,899.9	$ 1,871.3	1,876.2	$ 1,752.5	$ 1,676.2
Retained Earnings [Member] | Accounting Standards Update 2014-09 [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Cumulative Effect on Retained Earnings, Net of Tax			(4.9)
Other Current Assets [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Equipment and Other Costs	15.2		15.2
Other Assets [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Equipment and Other Costs	3.4		3.4
Other Current Liabilities [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Deferred Revenue	102.7		102.7				$ 47.8
Calculated under Revenue Guidance in Effect before Topic 606 [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	608.4		1,196.0
Retained Earnings (Accumulated Deficit)	1,940.1		1,940.1
Accounts Receivable, Net, Current	551.1		551.1
Other Assets, Current	101.2		101.2
Property, Plant and Equipment, Net	319.4		319.4
Deferred Tax Assets, Net of Valuation Allowance, Noncurrent	28.4		28.4
Other Assets, Noncurrent	91.0		91.0
Deferred Revenue	40.1		40.1
Other Liabilities, Current	64.7		64.7
Other Liabilities, Noncurrent	62.4		62.4
Product sales and service revenue	710.5		1,394.7
Rental revenue	102.1		198.7
Cost of Goods and Services Sold	316.9		627.8
Rental expenses	44.2		87.0
Income tax expense (benefit)	10.7		18.2
Net Income (Loss), Including Portion Attributable to Noncontrolling Interest	(46.8)		(89.4)
UNITED STATES
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	493.0		961.5
UNITED STATES | Calculated under Revenue Guidance in Effect before Topic 606 [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	489.5		958.9
Non-US [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	221.2		436.2
Non-US [Member] | Calculated under Revenue Guidance in Effect before Topic 606 [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	221.0		435.8
Patient Support Systems [Member] | Calculated under Revenue Guidance in Effect before Topic 606 [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	357.0		699.2
Patient Support Systems [Member] | UNITED STATES | Calculated under Revenue Guidance in Effect before Topic 606 [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	264.8		514.3
Patient Support Systems [Member] | Non-US [Member] | Calculated under Revenue Guidance in Effect before Topic 606 [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	92.2		184.9
Front Line Care [Member] | Calculated under Revenue Guidance in Effect before Topic 606 [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	242.0		474.9
Front Line Care [Member] | UNITED STATES | Calculated under Revenue Guidance in Effect before Topic 606 [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	169.1		335.1
Front Line Care [Member] | Non-US [Member] | Calculated under Revenue Guidance in Effect before Topic 606 [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	72.9		139.8
Surgical Solutions [Member] | Calculated under Revenue Guidance in Effect before Topic 606 [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	111.5		220.6
Surgical Solutions [Member] | UNITED STATES | Calculated under Revenue Guidance in Effect before Topic 606 [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	55.6		109.5
Surgical Solutions [Member] | Non-US [Member] | Calculated under Revenue Guidance in Effect before Topic 606 [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	55.9		111.1
Operating Segments [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	714.2	710.5	1,397.7	1,380.2
Operating Segments [Member] | Patient Support Systems [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	359.6	355.0	700.6	689.4
Operating Segments [Member] | Patient Support Systems [Member] | UNITED STATES
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	267.2		515.3
Operating Segments [Member] | Patient Support Systems [Member] | Non-US [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	92.4		185.3
Operating Segments [Member] | Front Line Care [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	243.1	237.9	476.5	462.5
Operating Segments [Member] | Front Line Care [Member] | UNITED STATES
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	170.2		336.7
Operating Segments [Member] | Front Line Care [Member] | Non-US [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	72.9		139.8
Operating Segments [Member] | Surgical Solutions [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	111.5	$ 117.6	220.6	$ 228.3
Operating Segments [Member] | Surgical Solutions [Member] | UNITED STATES
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	55.6		109.5
Operating Segments [Member] | Surgical Solutions [Member] | Non-US [Member]
Revenue, Initial Application Period Cumulative Effect Transition [Line Items]
Product sales and service revenue	$ 55.9		$ 111.1