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DIVESTITURES - Summary of Components of Income from Discontinued Operations, Net of Tax (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Jul. 02, 2023
Apr. 02, 2023
Jan. 01, 2023
Jul. 03, 2022
Apr. 03, 2022
Jan. 02, 2022
Jul. 02, 2023
Jul. 03, 2022
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]                
Income from discontinued operations, net of tax $ 2,031.8 $ 21.4 $ 19.5 $ 29.9 $ 41.1 $ 38.8 $ 2,072.7 $ 109.8
Net income from discontinued operations attributable to noncontrolling interest 0.2     0.2     0.3 0.7
Net income from discontinued operations attributable to controlling interest 2,031.6     29.7     2,072.4 109.1
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 2,841.8     45.8     2,910.2 152.0
Income tax expense from discontinued operations 810.0     15.9     837.5 42.2
Income from discontinued operations, net of tax 2,031.8     29.9     2,072.7 109.8
Net income from discontinued operations attributable to noncontrolling interest 0.2     0.2     0.3 0.7
Net income from discontinued operations attributable to controlling interest 2,031.6     29.7     2,072.4 109.1
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 32.5     57.9     136.9 188.9
Gain on sale of discontinued operations before income taxes 2,824.9     0.0     2,824.9 0.0
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 (0.2)     (0.2)     (2.2) (3.6)
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 $ 15.4     $ 11.9     $ 49.4 $ 33.3