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Goodwill and Intangible Assets - Changes in the Carrying Amount of Goodwill by Reporting Segment (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Goodwill [Roll Forward]      
Goodwill, beginning $ 1,328.1 $ 1,454.7  
Foreign currency impact 5.9 (9.7)  
Impairment 0.0 (116.0) $ 0.0
Deferred tax impact   0.9  
Omega Sea acquisition 8.6    
Allocated to Assets Held for Sale-Coevorden Operations (10.6)    
Goodwill, ending 1,332.0 1,328.1 1,454.7
HHI      
Goodwill [Roll Forward]      
Goodwill, beginning 702.1 704.3  
Foreign currency impact 2.7 (2.2)  
Impairment   0.0  
Deferred tax impact   0.0  
Omega Sea acquisition 0.0    
Allocated to Assets Held for Sale-Coevorden Operations 0.0    
Goodwill, ending 704.8 702.1 704.3
GPC      
Goodwill [Roll Forward]      
Goodwill, beginning 430.4 435.9  
Foreign currency impact 3.2 (5.5)  
Impairment   0.0  
Deferred tax impact   0.0  
Omega Sea acquisition 8.6    
Allocated to Assets Held for Sale-Coevorden Operations (10.6)    
Goodwill, ending 431.6 430.4 435.9
H&G      
Goodwill [Roll Forward]      
Goodwill, beginning 195.6 196.5  
Foreign currency impact 0.0 0.0  
Impairment   0.0  
Deferred tax impact   0.9  
Omega Sea acquisition 0.0    
Allocated to Assets Held for Sale-Coevorden Operations 0.0    
Goodwill, ending 195.6 195.6 196.5
HPC      
Goodwill [Roll Forward]      
Goodwill, beginning 0.0 118.0  
Foreign currency impact 0.0 (2.0)  
Impairment   (116.0)  
Deferred tax impact   0.0  
Omega Sea acquisition 0.0    
Allocated to Assets Held for Sale-Coevorden Operations 0.0    
Goodwill, ending $ 0.0 $ 0.0 $ 118.0