Condensed Consolidated Statements of Income - USD ($) shares in Millions, $ in Millions	3 Months Ended		6 Months Ended
	Mar. 30, 2025	Mar. 31, 2024	Mar. 30, 2025	Mar. 31, 2024
Income Statement [Abstract]
Net sales	$ 675.7	$ 718.5	$ 1,375.9	$ 1,410.7
Cost of goods sold	422.3	445.1	864.7	892.3
Gross profit	253.4	273.4	511.2	518.4
Selling, general & administrative	218.2	223.5	431.3	439.4
Impairment of intangible assets	15.7	39.0	15.7	43.0
Representation and warranty insurance proceeds	0.0	(65.0)	0.0	(65.0)
Total operating expenses	233.9	197.5	447.0	417.4
Operating income	19.5	75.9	64.2	101.0
Interest expense	7.5	16.9	13.7	36.1
Interest income	(0.4)	(17.5)	(3.0)	(40.9)
Gain from early extinguishment of debt	0.0	0.0	0.0	(4.7)
Other non-operating expense, net	1.0	1.1	5.7	5.2
Income from continuing operations before income taxes	11.4	75.4	47.8	105.3
Income tax expense	9.6	25.5	21.4	37.9
Net income from continuing operations	1.8	49.9	26.4	67.4
(Loss) income from discontinued operations, net of tax	(0.6)	11.0	(1.4)	22.7
Net income	1.2	60.9	25.0	90.1
Net income (loss) from continuing operations attributable to non-controlling interest	0.3	(0.2)	0.6	(0.1)
Net income attributable to controlling interest	0.9	61.1	24.4	90.2
Amounts attributable to controlling interest
Net income from continuing operations attributable to controlling interest	1.5	50.1	25.8	67.5
(Loss) income from discontinued operations attributable to controlling interest, net of tax	(0.6)	11.0	(1.4)	22.7
Net income attributable to controlling interest	$ 0.9	$ 61.1	$ 24.4	$ 90.2
Earnings Per Share
Basic earnings per share from continuing operations (in dollars per share)	$ 0.06	$ 1.66	$ 0.96	$ 2.10
Basic earnings per share from discontinued operations (in dollars per share)	(0.03)	0.37	(0.06)	0.71
Basic earnings per share (in dollars per share)	0.03	2.03	0.90	2.81
Diluted earnings per share from continuing operations (in dollars per share)	0.06	1.65	0.95	2.09
Diluted earnings per share from discontinued operations (in dollars per share)	(0.03)	0.36	(0.05)	0.71
Diluted earnings per share (in dollars per share)	0.03	2.01	0.90	2.80
Dividend per share (in dollars per share)	$ 0.47	$ 0.42	$ 0.94	$ 0.84
Weighted Average Shares Outstanding
Basic (in shares)	26.1	30.2	27.0	32.1
Diluted (in shares)	26.2	30.4	27.1	32.2