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Goodwill and Intangible Assets - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Intangible Assets [Line Items]      
Impairment of goodwill $ 0.0 $ 116.0 $ 0.0
Impairment of indefinite lived intangible assets 24.2 35.4 20.3
Impairment loss recognized on definite-lived tangible assets 7.6    
Amortization expense 68.0 83.4 $ 53.0
Coevorden Operations      
Intangible Assets [Line Items]      
Impairment loss recognized on definite-lived tangible assets $ 7.6    
HHI      
Intangible Assets [Line Items]      
Percentage of reporting units exceeded carrying values by 32.00%    
Impairment of goodwill   0.0  
GPC      
Intangible Assets [Line Items]      
Percentage of reporting units exceeded carrying values by 52.00%    
Impairment of goodwill   0.0  
H&G      
Intangible Assets [Line Items]      
Percentage of reporting units exceeded carrying values by 134.00%    
Impairment of goodwill   0.0  
HHI, GPC, and H&G      
Intangible Assets [Line Items]      
Impairment of goodwill $ 0.0    
HPC      
Intangible Assets [Line Items]      
Impairment of goodwill   116.0  
Amortization expense 15.5    
Tradenames      
Intangible Assets [Line Items]      
Indefinite-lived intangible assets 1,007.5 1,011.1  
Tradenames | Coevorden Operations      
Intangible Assets [Line Items]      
Impairment of indefinite lived intangible assets 16.6    
Indefinite-lived intangible assets $ 136.9    
Tradenames | HPC      
Intangible Assets [Line Items]      
Impairment of indefinite lived intangible assets   18.8  
Tradenames | GPC      
Intangible Assets [Line Items]      
Impairment of indefinite lived intangible assets   $ 16.6