DIVESTITURES - Schedule of Components of Income from Discontinued Operations before Income Taxes (Details) - Discontinued Operations, Disposed of by Sale - HHI Segment - USD ($) $ in Millions	12 Months Ended
	Sep. 30, 2023	Sep. 30, 2022
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Net sales	$ 1,042.5	$ 1,652.3
Cost of goods sold	701.6	1,096.3
Gross profit	340.9	556.0
Operating expenses	199.4	298.0
Operating income	141.5	258.0
Interest expense	2.4	3.4
Other non-operating expense, net	2.2	1.3
Income from discontinued operations before income taxes	$ 136.9	$ 253.3