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Pension and Other Post-Retirement Benefits - Additional Information (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Defined Benefit Plan Disclosure [Line Items]      
Defined contribution plans, employer matching contribution, percentage 50.00%    
Defined contribution plans, employer matching contribution of eligible salary, percentage 6.00%    
Defined contribution plans, charges incurred $ 0.5 $ 0.5 $ 0.5
Pension Plans      
Defined Benefit Plan Disclosure [Line Items]      
Defined benefit plans, pension expenses 0.3 0.5 0.5
Defined benefit plans, benefit obligation 12.2 11.8 10.4
Defined benefit plans, Net liability 6.2 $ 5.5 $ 4.9
Defined Benefit Plans, Settlement And Curtailment $ 0.4