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Revenue Recognition - Additional Information (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Deferred Contract Related Costs | Other Long -term Assets      
Disaggregation Of Revenue [Line Items]      
Deferred contract related costs $ 50.6    
Anticipated Contracts Costs | Other Long -term Assets      
Disaggregation Of Revenue [Line Items]      
Deferred contract related costs 4.8    
Engineering Costs | Other Long -term Assets      
Disaggregation Of Revenue [Line Items]      
Deferred contract related costs 42.3    
Setup Costs | Other Long -term Assets      
Disaggregation Of Revenue [Line Items]      
Deferred contract related costs 2.2    
Tooling | Other Long -term Assets      
Disaggregation Of Revenue [Line Items]      
Deferred contract related costs 1.3    
Fire & Emergency      
Disaggregation Of Revenue [Line Items]      
Interest Expense, Customer Deposits $ 17.2 $ 15.6 $ 14.5
Customer Concentration Risk | Sales Revenue, Net | Defense | DoD      
Disaggregation Of Revenue [Line Items]      
Concentration Risk, Percentage 95.00% 96.00% 94.00%