Condensed Consolidated Statements of Income - USD ($) shares in Millions, $ in Millions	3 Months Ended
	Dec. 31, 2023	Jan. 01, 2023
Income Statement [Abstract]
Net sales	$ 692.2	$ 713.3
Cost of goods sold	447.3	511.4
Gross profit	244.9	201.9
Selling, general & administrative	219.9	222.1
Operating income (loss)	25.0	(20.2)
Interest expense	19.2	33.4
Interest income	(23.4)	(0.1)
Gain from debt repurchase	(4.7)	0.0
Other non-operating expense (income), net	4.0	(1.4)
Income (loss) from continuing operations before income taxes	29.9	(52.1)
Income tax expense (benefit)	12.4	(12.1)
Net income (loss) from continuing operations	17.5	(40.0)
Income from discontinued operations, net of tax	11.7	19.5
Net income (loss)	29.2	(20.5)
Net income from continuing operations attributable to non-controlling interest	0.1	0.3
Income from discontinued operations attributable to non-controlling interest, net of tax	0.0	0.1
Net income (loss) attributable to controlling interest	29.1	(20.9)
Amounts attributable to controlling interest
Net income (loss) from continuing operations attributable to controlling interest	17.4	(40.3)
Income from discontinued operations attributable to controlling interest, net of tax	11.7	19.4
Net income (loss) attributable to controlling interest	$ 29.1	$ (20.9)
Earnings Per Share
Basic earnings per share from continuing operations (in dollars per share)	$ 0.51	$ (0.99)
Basic earnings per share from discontinued operations (in dollars per share)	0.34	0.48
Basic earnings per share (in dollars per share)	0.85	(0.51)
Diluted earnings per share from continuing operations (in dollars per share)	0.51	(0.99)
Diluted earnings per share from discontinued operations (in dollars per share)	0.34	0.48
Diluted earnings per share (in dollars per share)	0.85	(0.51)
Dividend per share (in dollars per share)	$ 0.42	$ 0.42
Weighted Average Shares Outstanding
Basic (in shares)	34.0	40.9
Diluted (in shares)	34.1	40.9