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Pension Plans - Additional Information (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Defined Benefit Plan Disclosure [Line Items]        
Weighted average interest crediting rate used in only cash balance pension plan   6.00%    
Defined benefit plan, plan assets, increase (decrease) for actual return (loss)   $ 7,400 $ (3,000) $ 3,500
Defined benefit plan, plan assets, contributions by employer   $ 3,000 $ 2,600 $ 2,600
Forecast        
Defined Benefit Plan Disclosure [Line Items]        
Net periodic pension income $ 700      
Defined benefit plan, plan assets, contributions by employer 3,800      
Defined benefit plan, plan assets, contributions by employer, directly to plans $ 800      
Pension Plan        
Defined Benefit Plan Disclosure [Line Items]        
Weighted average assumptions used to determine net periodic pension cost for fiscal years ended September 30, Rate of return on plan assets   5.00% 5.40% 5.40%
Net periodic pension income   $ 2,310 $ 1,924 $ 1,198
Defined benefit plan, plan assets, increase (decrease) for actual return (loss)   7,383 (2,990)  
Defined benefit plan, plan assets, contributions by employer   $ 3,049 $ 2,622  
Pension Plan | Foreign Plan        
Defined Benefit Plan Disclosure [Line Items]        
Current asset allocation target for fixed income securities   100.00%    
Minimum        
Defined Benefit Plan Disclosure [Line Items]        
Defined benefit plans, vesting period   1 year    
Maximum        
Defined Benefit Plan Disclosure [Line Items]        
Defined benefit plans, vesting period   5 years