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GOODWILL AND INTANGIBLES - Schedule of Changes in the Carrying Amount of Goodwill by Reporting Segment (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Goodwill [Roll Forward]      
Balance at beginning of period $ 854.7 $ 953.1  
Impairment 0.0 (111.1) $ 0.0
Acquisitions   3.0  
Foreign currency impact 10.2 9.7  
Balance at end of period 864.9 854.7 953.1
GPC      
Goodwill [Roll Forward]      
Balance at beginning of period 512.1 502.4  
Impairment   0.0  
Acquisitions   0.0  
Foreign currency impact 10.2 9.7  
Balance at end of period 522.3 512.1 502.4
H&G      
Goodwill [Roll Forward]      
Balance at beginning of period 342.6 342.6  
Impairment   0.0  
Acquisitions   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 0.0 108.1  
Impairment   (111.1)  
Acquisitions   3.0  
Foreign currency impact 0.0 0.0  
Balance at end of period $ 0.0 $ 0.0 $ 108.1