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Pension Plan and Retirement Benefits - Defined Contribution Plans (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Defined Contribution 401K Plan [Member]      
Defined Contribution Plans      
Expenses associated with plan $ 2,016 $ 1,748 $ 1,950
Defined Contribution 401K Plan [Member] | Employees with exceptions      
Defined Contribution Plans      
Percentage employer matches of the employee's percentage contribution matched. 50.00%    
Defined Contribution 401K Plan [Member] | Employees with exceptions | Maximum      
Defined Contribution Plans      
Percentage of employees' gross pay for which the employer contributes a matching contribution 3.00%    
Defined Contribution 401K Plan [Member] | Certain employees not eligible for U.S. pension plan      
Defined Contribution Plans      
Percentage employer matches of the employee's percentage contribution matched. 60.00%    
Defined Contribution 401K Plan [Member] | Certain employees not eligible for U.S. pension plan | Maximum      
Defined Contribution Plans      
Percentage of employees' gross pay for which the employer contributes a matching contribution 6.00%    
Profit Sharing Plans [Member]      
Defined Contribution Plans      
Expenses associated with plan $ 0 $ 0 $ 0