DIVESTITURES - Summary of Components of Income from Discontinued Operations before Income Taxes (Details) - Discontinued Operations, Disposed of by Sale - HHI - USD ($) $ in Millions	3 Months Ended
	Jan. 01, 2023	Jan. 02, 2022
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Net sales	$ 362.9	$ 374.7
Cost of goods sold	244.8	245.0
Gross profit	118.1	129.7
Operating expenses	71.1	67.2
Operating income	47.0	62.5
Interest expense	0.8	0.9
Other non-operating expense, net	1.2	1.6
Income from discontinued operations before income taxes	$ 45.0	$ 60.0