DIVESTITURES - Summary 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	Sep. 30, 2021
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Net sales	$ 1,042.5	$ 1,652.3	$ 1,615.8
Cost of goods sold	701.6	1,096.3	1,025.3
Gross profit	340.9	556.0	590.5
Operating expenses	199.4	298.0	293.1
Operating income	141.5	258.0	297.4
Interest expense	2.4	3.4	3.4
Other non-operating expense, net	2.2	1.3	5.8
Income from discontinued operations before income taxes	$ 136.9	$ 253.3	$ 288.2

Amount before tax of income (loss) from a discontinued operation. Includes, but is not limited to, the income (loss) from operations during the phase-out period, gain (loss) on disposal, gain (loss) for reversal of write-down (write-down) to fair value, less cost to sell, and adjustments to a prior period gain (loss) on disposal.

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