Consolidated Statements of Income - USD ($) shares in Millions, $ in Millions	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Income Statement [Abstract]
Net sales	$ 2,963.9	$ 2,918.8	$ 3,132.5
Cost of goods sold	1,854.6	1,994.5	2,142.1
Gross profit	1,109.3	924.3	990.4
Selling, general & administrative	958.5	899.6	995.7
Impairment of goodwill	0.0	111.1	0.0
Impairment of intangible assets	45.2	120.7	0.0
Representation and warranty insurance proceeds	(65.0)	0.0	0.0
Gain from remeasurement of contingent consideration liability	0.0	(1.5)	(28.5)
Total operating expenses	938.7	1,129.9	967.2
Operating income (loss)	170.6	(205.6)	23.2
Interest expense	58.5	116.1	99.4
Interest income	(57.5)	(38.3)	(0.6)
(Gain) loss from early extinguishment of debt	(2.6)	3.0	0.0
Other non-operating expense, net	8.6	3.8	14.7
Income (loss) from continuing operations before income taxes	163.6	(290.2)	(90.3)
Income tax expense (benefit)	64.3	(56.5)	(13.3)
Net income (loss) from continuing operations	99.3	(233.7)	(77.0)
Income from discontinued operations, net of tax	25.5	2,035.6	149.7
Net income	124.8	1,801.9	72.7
Net income from continuing operations attributable to non-controlling interest	0.0	0.1	0.2
Net income from discontinued operations attributable to non-controlling interest	0.0	0.3	0.9
Net income attributable to controlling interest	124.8	1,801.5	71.6
Amounts attributable to controlling interest
Net income (loss) from continuing operations attributable to controlling interest	99.3	(233.8)	(77.2)
Net income from discontinued operations attributable to controlling interest	25.5	2,035.3	148.8
Net income attributable to controlling interest	$ 124.8	$ 1,801.5	$ 71.6
Earnings Per Share
Basic earnings per share from continuing operations (in dollars per share)	$ 3.28	$ (5.92)	$ (1.89)
Basic earnings per share from discontinued operations (in dollars per share)	0.84	51.57	3.64
Basic earnings per share (in dollars per share)	4.12	45.65	1.75
Diluted earnings per share from continuing operations (in dollars per share)	3.26	(5.92)	(1.89)
Diluted earnings per share from discontinued operations (in dollars per share)	0.84	51.57	3.64
Diluted earnings per share (in dollars per share)	4.10	45.65	1.75
Dividend per share (in dollars per share)	$ 1.68	$ 1.68	$ 1.68
Weighted Average Shares Outstanding
Basic (in shares)	30.3	39.5	40.9
Diluted (in shares)	30.5	39.5	40.9