Condensed Consolidated Statements of Income - USD ($) shares in Millions, $ in Millions	3 Months Ended		9 Months Ended
	Jun. 30, 2024	Jul. 02, 2023	Jun. 30, 2024	Jul. 02, 2023
Income Statement [Abstract]
Net sales	$ 779.4	$ 735.5	$ 2,190.2	$ 2,178.1
Cost of goods sold	476.6	472.0	1,369.0	1,498.2
Gross profit	302.8	263.5	821.2	679.9
Selling, general & administrative	255.1	223.4	694.6	671.4
Impairment of goodwill	0.0	111.1	0.0	111.1
Impairment of intangible assets	0.0	53.7	43.0	120.7
Representation and warranty insurance proceeds	0.0	0.0	(65.0)	0.0
Gain from remeasurement of contingent consideration liability	0.0	0.0	0.0	(1.5)
Total operating expenses	255.1	388.2	672.6	901.7
Operating income (loss)	47.7	(124.7)	148.6	(221.8)
Interest expense	15.7	30.3	51.8	95.3
Interest income	(13.4)	(5.4)	(54.3)	(5.6)
Loss (gain) from early extinguishment of debt	2.2	8.6	(2.6)	8.6
Other non-operating expense, net	1.7	0.1	7.0	0.1
Income (loss) from continuing operations before income taxes	41.5	(158.3)	146.7	(320.2)
Income tax expense (benefit)	22.4	13.9	60.3	(33.0)
Net income (loss) from continuing operations	19.1	(172.2)	86.4	(287.2)
(Loss) income from discontinued operations, net of tax	(13.1)	2,031.8	9.6	2,072.7
Net income	6.0	1,859.6	96.0	1,785.5
Net (loss) income from continuing operations attributable to non-controlling interest	(0.1)	0.2	(0.2)	0.5
Income from discontinued operations attributable to non-controlling interest, net of tax	0.0	0.2	0.0	0.3
Net income attributable to controlling interest	6.1	1,859.2	96.2	1,784.7
Amounts attributable to controlling interest
Net income (loss) from continuing operations attributable to controlling interest	19.2	(172.4)	86.6	(287.7)
(Loss) income from discontinued operations attributable to controlling interest, net of tax	(13.1)	2,031.6	9.6	2,072.4
Net income attributable to controlling interest	$ 6.1	$ 1,859.2	$ 96.2	$ 1,784.7
Earnings Per Share
Basic earnings per share from continuing operations (in dollars per share)	$ 0.66	$ (4.27)	$ 2.79	$ (7.06)
Basic earnings per share from discontinued operations (in dollars per share)	(0.45)	50.34	0.31	50.87
Basic earnings per share (in dollars per share)	0.21	46.07	3.10	43.81
Diluted earnings per share from continuing operations (in dollars per share)	0.66	(4.27)	2.78	(7.06)
Diluted earnings per share from discontinued operations (in dollars per share)	(0.45)	50.34	0.31	50.87
Diluted earnings per share (in dollars per share)	0.21	46.07	3.09	43.81
Dividend per share (in dollars per share)	$ 0.42	$ 0.42	$ 1.26	$ 1.26
Weighted Average Shares Outstanding
Basic (in shares)	28.9	40.4	31.0	40.7
Diluted (in shares)	29.1	40.4	31.2	40.7