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Income Taxes - Valuation Allowance (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Valuation Allowance [Line Items]        
Deferred Tax Assets, Valuation Allowance $ 43.7 $ 36.4 $ 35.5 $ 41.6
Deeside acquisition        
Valuation Allowance [Line Items]        
Valuation Allowance, Deferred Tax Asset, Increase (Decrease), Amount 20.4 0.0 0.0  
State carryforwards, including NOLs, Section 163(j) and credits        
Valuation Allowance [Line Items]        
Valuation Allowance, Deferred Tax Asset, Increase (Decrease), Amount (11.8) (0.1) (7.6)  
Other foreign-related changes        
Valuation Allowance [Line Items]        
Valuation Allowance, Deferred Tax Asset, Increase (Decrease), Amount $ (1.3) $ 1.0 $ 1.5