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DIVESTITURES - Summary of Components of Income from Discontinued Operations, Net of Tax (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]      
Income from discontinued operations, net of tax $ 149.7 $ 174.3 $ 150.9
Income (loss) from discontinued operations, net of tax attributable to noncontrolling interest 0.9 (0.2) 0.4
Income from discontinued operations, net of tax attributable to controlling interest 148.8 174.5 150.5
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 203.1 236.4 184.6
Income tax expense from discontinued operations 53.4 62.1 33.7
Income from discontinued operations, net of tax 149.7 174.3 150.9
Income (loss) from discontinued operations, net of tax attributable to noncontrolling interest 0.9 (0.2) 0.4
Income from discontinued operations, net of tax attributable to controlling interest 148.8 174.5 150.5
Discontinued Operations, Held-for-sale or Disposed of by Sale | HHI Segment      
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]      
Income from discontinued operations before income taxes 253.3 288.2 227.8
Discontinued Operations, Held-for-sale or Disposed of by Sale | Global Battery And Lighting      
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]      
Income from discontinued operations before income taxes (3.8) (7.3) 4.1
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 $ 46.4 $ 44.5 $ 47.3