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INCOME TAXES - Narrative (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Income Taxes [Line Items]        
Income tax (benefit) expense $ (13.0) $ 64.3 $ (56.5)  
Gross increase – tax positions in prior period $ 3.2 77.5 21.5  
Mandatory repatriation tax payable period 8 years      
Repatriation tax liability due and payable in the next 12 months, will be offset $ 5.5      
Taxes on unremitted foreign earnings 2.4 1.7    
Undistributed foreign earnings were taxed in the U.S. 500.6      
Tax reform act, income tax expense (benefit) 2.8      
Undistributed foreign earnings, high-tax exceptions 49.8      
Undistributed foreign earnings, taxed 229.9      
Operating loss carryforwards, domestic 126.4      
U.S. state net operating loss carryforwards 44.1      
Operating loss carryforwards, foreign 124.2      
Valuation allowance, operating loss carryforwards, increase (decrease), amount (16.0)      
Deferred tax assets, valuation allowance 296.4 321.4 333.4  
Increase (decrease) in valuation allowance, deferred tax asset (25.0) (12.0)    
Unrecognized tax benefits 186.3 190.2 121.1 $ 100.9
Unrecognized tax benefits that would impact effective tax rate 112.5      
Unrecognized tax benefits, income tax penalties and interest accrued 22.0 9.8    
Unrecognized tax benefits, income tax penalties and interest expense, increase (decrease) 12.2 8.1 0.3  
Unrecognized tax benefits, decrease resulting from prior period tax positions 6.7 9.2 34.4  
Gross increase – tax positions in current period 1.4 1.7 33.4  
HHI Segment        
Income Taxes [Line Items]        
Gross increase – tax positions in current period   50.1 27.3  
Tax Year 2019        
Income Taxes [Line Items]        
Unrecognized tax benefits, decrease resulting from current period tax positions 2.6      
Unrecognized tax benefits, decrease resulting from prior period tax positions   2.3 33.0  
Unrecognized tax benefits, decrease resulting from settlements with taxing authorities   17.9    
Federal Net Operating Losses        
Income Taxes [Line Items]        
U.S. federal operating loss carryforwards expected to expire unused 521.0      
Tax benefit related to NOLs expire unused 109.4      
Deferred tax assets, operating loss carryforwards, domestic, expired 40.2      
Deferred tax assets, operating loss carryforwards, domestic, expired, tax benefit 8.4      
U.S. State Net Operating Losses        
Income Taxes [Line Items]        
Tax benefit related to NOLs expire unused 13.8      
Deferred tax assets, valuation allowance 40.9      
Foreign Net Operating Losses        
Income Taxes [Line Items]        
Tax benefit related to NOLs expire unused 98.1      
U.S. Net Deferred Tax Assets        
Income Taxes [Line Items]        
Deferred tax assets, valuation allowance 193.4 203.6 244.7  
Increase (decrease) in valuation allowance, deferred tax asset (10.2) (41.1)    
Foreign Net Deferred Tax Assets        
Income Taxes [Line Items]        
Deferred tax assets, valuation allowance 103.0 117.8 $ 88.7  
Increase (decrease) in valuation allowance, deferred tax asset (14.8) $ 29.1    
Domestic Tax Jurisdiction        
Income Taxes [Line Items]        
Operating loss carryforwards 601.8      
Foreign Tax Jurisdiction        
Income Taxes [Line Items]        
Operating loss carryforwards 515.1      
June 2019 Regulations        
Income Taxes [Line Items]        
Gross increase – tax positions in prior period $ 56.6