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Financial Instruments and Risk Management - Narrative (Details)
3 Months Ended 6 Months Ended 12 Months Ended
Mar. 31, 2022
USD ($)
derivative_instrument
Contract
Mar. 31, 2021
USD ($)
Mar. 31, 2022
USD ($)
derivative_instrument
Contract
Mar. 31, 2021
USD ($)
Sep. 30, 2020
USD ($)
Sep. 30, 2021
USD ($)
Jan. 22, 2021
USD ($)
Dec. 22, 2020
USD ($)
Derivative [Line Items]                
Unrecognized pre-tax loss     $ 50,100,000   $ (11,700,000)      
Portion or pre-tax gain included in AOCI expected to be included in earnings $ 2,900,000   2,900,000          
Interest Rate Contracts                
Derivative [Line Items]                
Notional value $ 550,000,000.0   $ 550,000,000.0       $ 700,000,000.0 $ 550,000,000.0
Notional value decrease each year             $ 100,000,000.0  
Interest Rate Contracts | LIBOR                
Derivative [Line Items]                
Fixed interest rate 0.95%   0.95%         0.95%
Line of Credit | Senior Secured Term Loan B Facility, net of discount, due 2022                
Derivative [Line Items]                
Face amount of debt $ 1,188,000,000   $ 1,188,000,000          
Estimate of Fair Value                
Derivative [Line Items]                
Fair market value of fixed rate long-term debt 2,180,000,000   2,180,000,000     $ 2,156,100,000    
Reported Value Measurement                
Derivative [Line Items]                
Fair market value of fixed rate long-term debt 2,419,300,000   2,419,300,000     2,152,700,000    
Designated as Hedging Instrument | Cash Flow Hedging                
Derivative [Line Items]                
Derivatives - Foreign Currency contracts 59,100,000   59,100,000     21,400,000    
Designated as Hedging Instrument | Cash Flow Hedging | Zinc contracts                
Derivative [Line Items]                
Derivatives - Foreign Currency contracts $ 6,200,000   $ 6,200,000     4,700,000    
Derivative, Number of Open Contracts | Contract 6   6          
Notional value $ 21,000,000   $ 21,000,000          
Designated as Hedging Instrument | Cash Flow Hedging | Foreign currency contracts                
Derivative [Line Items]                
Derivatives - Foreign Currency contracts 2,800,000   2,800,000     5,000,000.0    
Notional value $ 173,000,000   $ 173,000,000          
Number of open contracts | derivative_instrument 62   62          
Not Designated as Hedging Instrument | Foreign currency contracts                
Derivative [Line Items]                
Derivatives - Foreign Currency contracts $ 500,000   $ 500,000     $ 0    
Gain (Loss) Recognized in Income 1,500,000 $ 300,000 3,400,000 $ (600,000)        
Not Designated as Hedging Instrument | Foreign currency contracts                
Derivative [Line Items]                
Notional value $ 96,000,000   $ 96,000,000          
Number of open contracts | derivative_instrument 9   9