Segment Reporting (Details) - USD ($)	3 Months Ended				9 Months Ended		12 Months Ended
	Sep. 30, 2021	Jun. 30, 2021	Sep. 30, 2020	Jun. 30, 2020	Jun. 30, 2021	Jun. 30, 2020	Sep. 30, 2021	Sep. 30, 2020
Segment Reporting Information [Line Items]
Revenues		$ 717,700,000		$ 767,500,000	$ 2,220,800,000	$ 2,175,700,000
Special charges		5,900,000		9,500,000	40,100,000	26,100,000
Operating profit	$ 89,400,000	89,400,000	$ 135,300,000	135,300,000	286,100,000	301,500,000	$ 286,100,000	$ 301,500,000
Interest expense		(15,700,000)		(17,300,000)	(50,600,000)	(55,800,000)
Gain (Loss) on Extinguishment of Debt		(9,800,000)		0	(9,800,000)	(15,600,000)
Investment income (expense) and other, net		(3,400,000)		2,200,000	12,700,000	(10,500,000)
Income Before Income Taxes	60,500,000	$ 60,500,000	120,200,000	$ 120,200,000	$ 238,400,000	$ 219,600,000	238,400,000	219,600,000
Corporate and Other [Member]
Segment Reporting Information [Line Items]
Non-allocated operating costs, administrative and other	72,500,000		70,200,000				231,000,000.0	198,300,000
Operating Segments [Member]
Segment Reporting Information [Line Items]
Revenues	717,700,000		767,500,000				2,220,800,000	2,175,700,000
Operating Segments [Member] | Patient Support Systems [Member]
Segment Reporting Information [Line Items]
Revenues	376,100,000		447,800,000				1,151,800,000	1,174,000,000.0
Divisional Income	74,700,000		129,200,000				258,000,000.0	262,400,000
Operating Segments [Member] | Front Line Care [Member]
Segment Reporting Information [Line Items]
Revenues	265,900,000		252,100,000				820,800,000	765,000,000.0
Divisional Income	83,400,000		81,100,000				261,100,000	232,500,000
Operating Segments [Member] | Surgical Solutions [Member]
Segment Reporting Information [Line Items]
Revenues	75,700,000		67,600,000				248,200,000	236,700,000
Divisional Income	9,700,000		4,700,000				38,100,000	31,000,000.0
Geographic Distribution, Domestic [Member] | Operating Segments [Member]
Segment Reporting Information [Line Items]
Revenues	501,400,000		507,200,000				1,503,400,000	1,495,600,000
Geographic Distribution, Domestic [Member] | Operating Segments [Member] | Patient Support Systems [Member]
Segment Reporting Information [Line Items]
Revenues	275,000,000.0		316,900,000				829,700,000	872,800,000
Geographic Distribution, Domestic [Member] | Operating Segments [Member] | Front Line Care [Member]
Segment Reporting Information [Line Items]
Revenues	186,700,000		167,800,000				564,400,000	525,200,000
Geographic Distribution, Domestic [Member] | Operating Segments [Member] | Surgical Solutions [Member]
Segment Reporting Information [Line Items]
Revenues	39,700,000		22,500,000				109,300,000	97,600,000
Non-US [Member] | Operating Segments [Member]
Segment Reporting Information [Line Items]
Revenues	216,300,000		260,300,000				717,400,000	680,100,000
Non-US [Member] | Operating Segments [Member] | Patient Support Systems [Member]
Segment Reporting Information [Line Items]
Revenues	101,100,000		130,900,000				322,100,000	301,200,000
Non-US [Member] | Operating Segments [Member] | Front Line Care [Member]
Segment Reporting Information [Line Items]
Revenues	79,200,000		84,300,000				256,400,000	239,800,000
Non-US [Member] | Operating Segments [Member] | Surgical Solutions [Member]
Segment Reporting Information [Line Items]
Revenues	$ 36,000,000.0		$ 45,100,000				$ 138,900,000	$ 139,100,000