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DIVESTITURES - Summary of Components of Income from Discontinued Operations before Income Taxes (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 02, 2019
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Global Battery And Lighting        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]        
Gain on sale $ (989.8)   $ (3.0)  
Discontinued Operations, Disposed of by Sale | HHI Segment        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]        
Net sales   $ 1,615.8 1,342.1 $ 1,355.7
Cost of goods sold   1,025.3 850.3 868.4
Gross profit   590.5 491.8 487.3
Operating expenses   293.1 257.1 262.8
Operating income (loss)   297.4 234.7 224.5
Interest expense   3.4 3.5 3.4
Other non-operating expense, net   5.8 3.4 0.5
Income (loss) from discontinued operations before income taxes   $ 288.2 $ 227.8 220.6
Discontinued Operations, Disposed of by Sale | Global Battery And Lighting        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]        
Net sales       249.0
Cost of goods sold       164.6
Gross profit       84.4
Operating expenses       57.0
Operating income (loss)       27.4
Interest expense       0.6
Other non-operating expense, net       0.5
Gain on sale       (989.8)
Reclassification of accumulated other comprehensive income       18.5
Income (loss) from discontinued operations before income taxes       997.6
Discontinued Operations, Disposed of by Sale | Global Auto Care        
Income Statement, Balance Sheet and Additional Disclosures by Disposal Groups, Including Discontinued Operations [Line Items]        
Net sales       87.7
Cost of goods sold       52.5
Gross profit       35.2
Operating expenses       35.7
Operating income (loss)       (0.5)
Interest expense       0.7
Other non-operating expense, net       0.2
Loss on sale of business       111.0
Reclassification of accumulated other comprehensive income       3.3
Income (loss) from discontinued operations before income taxes       $ (115.7)