Consolidated Statements of Income - USD ($) shares in Millions	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Income Statement [Abstract]
Net sales	$ 3,132,500,000	$ 2,998,100,000	$ 2,622,100,000
Cost of goods sold	2,142,100,000	1,963,500,000	1,744,000,000
Gross profit	990,400,000	1,034,600,000	878,100,000
Selling	597,600,000	518,500,000	428,800,000
General and administrative	371,400,000	389,200,000	360,500,000
Research and development	26,700,000	29,800,000	29,200,000
Gain from remeasurement of contingent consideration liability	(28,500,000)	0	0
Loss on sale of Coevorden operations	0	0	26,800,000
Write-off from impairment of intangible assets	0	0	24,200,000
Total operating expenses	967,200,000	937,500,000	869,500,000
Operating income	23,200,000	97,100,000	8,600,000
Interest expense	99,400,000	116,500,000	93,700,000
Gain from extinguishment of Salus CLO debt	0	0	(76,200,000)
Other non-operating expense (income), net	14,100,000	(8,300,000)	16,200,000
Loss from continuing operations before income taxes	(90,300,000)	(11,100,000)	(25,100,000)
Income tax (benefit) expense	(13,300,000)	(26,400,000)	27,300,000
Net (loss) income from continuing operations	(77,000,000.0)	15,300,000	(52,400,000)
Income (loss) from discontinued operations, net of tax	149,700,000	174,300,000	150,900,000
Net income	72,700,000	189,600,000	98,500,000
Net income from continuing operations attributable to non-controlling interest	200,000	200,000	300,000
Net income (loss) from discontinued operations attributable to non-controlling interest	900,000	(200,000)	400,000
Net income attributable to controlling interest	71,600,000	189,600,000	97,800,000
Amounts attributable to controlling interest
Net (loss) income from continuing operations attributable to controlling interest	(77,200,000)	15,100,000	(52,700,000)
Net income from discontinued operations attributable to controlling interest	148,800,000	174,500,000	150,500,000
Net income attributable to controlling interest	$ 71,600,000	$ 189,600,000	$ 97,800,000
Earnings Per Share
Basic earnings per share from continuing operations (in dollars per share)	$ (1.89)	$ 0.35	$ (1.18)
Basic earnings per share from discontinued operations (in dollars per share)	3.64	4.09	3.37
Basic earnings per share (in dollars per share)	1.75	4.44	2.19
Diluted earnings per share from continuing operations (in dollars per share)	(1.89)	0.35	(1.18)
Diluted earnings per share from discontinued operations (in dollars per share)	3.64	4.04	3.37
Diluted earnings per share (in dollars per share)	1.75	4.39	2.19
Dividend per share (in dollars per share)	$ 1.68	$ 1.68	$ 1.68
Weighted Average Shares Outstanding
Basic (in shares)	40.9	42.7	44.7
Diluted (in shares)	40.9	43.2	44.7