DIVESTITURES - Summary of Components of Income from Discontinued Operations, Net of Tax (Details) - 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]
Income from discontinued operations, net of tax	$ 19.5	$ 38.8
Income from discontinued operations, net of tax attributable to noncontrolling interest	0.1	0.4
Net income from discontinued operations attributable to controlling interest	19.4	38.4
Discontinued Operations, Held-for-sale or Disposed of by Sale
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Income from discontinued operations before income taxes	28.1	49.3
Income tax expense from discontinued operations	8.6	10.5
Income from discontinued operations, net of tax	19.5	38.8
Income from discontinued operations, net of tax attributable to noncontrolling interest	0.1	0.4
Net income from discontinued operations attributable to controlling interest	19.4	38.4
Discontinued Operations, Held-for-sale or Disposed of by Sale | HHI
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Income from discontinued operations before income taxes	45.0	60.0
Discontinued Operations, Held-for-sale or Disposed of by Sale | Other
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Income from discontinued operations before income taxes	(0.6)	(0.3)
Discontinued Operations, Held-for-sale or Disposed of by Sale | Corporate Debt
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]
Income from discontinued operations before income taxes	$ 16.3	$ 10.4