Consolidated Statements of Income - USD ($) shares in Millions, $ in Millions	12 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Income Statement [Abstract]
Net sales	$ 2,918.8	$ 3,132.5	$ 2,998.1
Cost of goods sold	1,994.5	2,142.1	1,963.5
Gross profit	924.3	990.4	1,034.6
Selling	544.7	597.6	518.5
General and administrative	332.4	371.4	389.2
Research and development	22.5	26.7	29.8
Gain from remeasurement of contingent consideration liability	(1.5)	(28.5)	0.0
Impairment of goodwill	111.1	0.0	0.0
Impairment of intangible assets	120.7	0.0	0.0
Total operating expenses	1,129.9	967.2	937.5
Operating (loss) income	(205.6)	23.2	97.1
Interest expense	127.0	99.4	116.5
Interest income	(38.3)	(0.6)	(1.1)
Gain from debt repurchase	(7.9)	0.0	0.0
Other non-operating expense (income), net	3.8	14.7	(7.2)
Loss from continuing operations before income taxes	(290.2)	(90.3)	(11.1)
Income tax benefit	(56.5)	(13.3)	(26.4)
Net (loss) income from continuing operations	(233.7)	(77.0)	15.3
Income (loss) from discontinued operations, net of tax	2,035.6	149.7	174.3
Net income	1,801.9	72.7	189.6
Net income from continuing operations attributable to non-controlling interest	0.1	0.2	0.2
Net income (loss) from discontinued operations attributable to non-controlling interest	0.3	0.9	(0.2)
Net income attributable to controlling interest	1,801.5	71.6	189.6
Amounts attributable to controlling interest
Net (loss) income from continuing operations attributable to controlling interest	(233.8)	(77.2)	15.1
Net income from discontinued operations attributable to controlling interest	2,035.3	148.8	174.5
Net income attributable to controlling interest	$ 1,801.5	$ 71.6	$ 189.6
Earnings Per Share
Basic earnings per share from continuing operations (in dollars per share)	$ (5.92)	$ (1.89)	$ 0.35
Basic earnings per share from discontinued operations (in dollars per share)	51.57	3.64	4.09
Basic earnings per share (in dollars per share)	45.65	1.75	4.44
Diluted earnings per share from continuing operations (in dollars per share)	(5.92)	(1.89)	0.35
Diluted earnings per share from discontinued operations (in dollars per share)	51.57	3.64	4.04
Diluted earnings per share (in dollars per share)	45.65	1.75	4.39
Dividend per share (in dollars per share)	$ 1.68	$ 1.68	$ 1.68
Weighted Average Shares Outstanding
Basic (in shares)	39.5	40.9	42.7
Diluted (in shares)	39.5	40.9	43.2