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Stockholders' Equity (Details) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Dec. 01, 2022
Sep. 30, 2019
May 20, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Common Stock, Shares Authorized 100,000,000 100,000,000        
Common Stock, Capital Shares Reserved for Future Issuance 713,058          
Stock Repurchase Program, Number of Shares Authorized to be Repurchased 1,500,000         1,000,000.0
Treasury Stock, Shares, Acquired 511,600 124,205        
Treasury Stock Acquired, Average Cost Per Share $ 32.02 $ 44.40        
Share-based Payment Arrangement, Shares Withheld for Tax Withholding Obligation 45,198 32,323        
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Forfeited in Period 0 (13,996) (208,597)      
Shares, Issued 9,000          
Share-based Payment Arrangement, Cash Used to Settle Award $ 1,100          
Share-based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount $ 23          
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number 16,757 38,936 283,195      
Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Granted 0 0 69,338      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period (3,118) (8,183) (105,000)      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number 13,639 16,757 38,936      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value $ 21.60          
Subsequent Event            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Stock Repurchase Program, Authorized Amount       $ 40,000    
Restricted Stock [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Share-based Payment Arrangement, Expense $ 137 $ 145 $ 2,441      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period, Fair Value 150 308 2,984      
Phantom Share Units (PSUs) [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Share-based Payment Arrangement, Expense $ 386 376 390      
Performance Based Phantom Shares [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Forfeited in Period (10,464)          
Shares, Issued 150,447          
Share-based Payment Arrangement, Expense $ 3,251 $ 2,986 $ 1,443      
Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Granted 106,964          
Shares, Outstanding 315,961 282,942        
Treasury Stock [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Treasury Stock, Shares, Acquired 556,798 170,524 528,563      
Share-based Compensation Arrangement by Share-based Payment Award, Shares Issued in Period 157,167 140,280        
Shares, Issued 1,707,629 1,316,998 1,287,134   884,518  
Options exercised, shares 9,000 0 5,750      
Share-based Payment Arrangement, Nonemployee [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Shares, Issued   380        
Share Repurchase Program [Domain]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Treasury Stock, Shares, Acquired   124,205        
Equity Incentive Plan [Member]            
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]            
Common Stock, Shares Authorized 3,000,000.0