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Restructuring and Related Charges - Summary of Costs Incurred by Reporting Segment (Details) - USD ($)
$ in Millions
 12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges $ 72.6 $ 65.7 $ 75.6
Cumulative costs 132.5    
Future costs to be incurred 31.0    
Corporate      
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges 45.7 43.5 8.1
Cumulative costs 88.2    
Future costs to be incurred 22.2    
HHI | Operating Segments      
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges 1.0 4.7 52.8
Cumulative costs 1.5    
Future costs to be incurred 0.8    
HPC | Operating Segments      
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges 4.6 8.1 0.7
Cumulative costs 12.6    
Future costs to be incurred 3.6    
GPC | Operating Segments      
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges 20.8 7.6 13.2
Cumulative costs 28.0    
Future costs to be incurred 2.3    
H&G | Operating Segments      
Restructuring Cost and Reserve [Line Items]      
Restructuring and related charges 0.5 $ 1.8 $ 0.8
Cumulative costs 2.2    
Future costs to be incurred $ 2.1