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GOODWILL AND INTANGIBLES - Changes in the Carrying Amount of Goodwill by Reporting Segment (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Goodwill [Roll Forward]      
Balance at beginning of period $ 953.1 $ 867.2  
Impairment (111.1) 0.0 $ 0.0
Acquisitions 3.0 108.1  
Foreign currency impact 9.7 (22.2)  
Balance at end of period 854.7 953.1 867.2
GPC      
Goodwill [Roll Forward]      
Balance at beginning of period 502.4 524.6  
Impairment 0.0    
Acquisitions 0.0 0.0  
Foreign currency impact 9.7 (22.2)  
Balance at end of period 512.1 502.4 524.6
H&G      
Goodwill [Roll Forward]      
Balance at beginning of period 342.6 342.6  
Impairment 0.0    
Acquisitions 0.0 0.0  
Foreign currency impact 0.0 0.0  
Balance at end of period 342.6 342.6 342.6
HPC      
Goodwill [Roll Forward]      
Balance at beginning of period 108.1 0.0  
Impairment (111.1)    
Acquisitions 3.0 108.1  
Foreign currency impact 0.0 0.0  
Balance at end of period $ 0.0 $ 108.1 $ 0.0