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Stockholders' Equity (Details) - USD ($)
$ / shares in Units, $ in Thousands
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
May 20, 2019
Sep. 30, 2018
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 817,452        
Stock Repurchase Program, Number of Shares Authorized to be Repurchased 1,500,000     1,000,000.0  
Treasury Stock, Shares, Acquired 124,205 263,160      
Treasury Stock Acquired, Average Cost Per Share $ 44.40 $ 23.29      
Share-based Payment Arrangement, Shares Withheld for Tax Withholding Obligation 32,323 56,806      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Forfeited in Period (13,996) (208,597) 0    
Shares, Issued   5,750      
Share-based Payment Arrangement, Cash Used to Settle Award $ 1,100        
Share-based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Amount $ 167        
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number 38,936 283,195 0    
Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Granted 0 69,338 283,195    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period (8,183) (105,000) 0    
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, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value $ 21.56        
Restricted Stock [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based Payment Arrangement, Expense $ 145 $ 2,441 $ 776    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Vested in Period, Fair Value 308 2,984 0    
Phantom Share Units (PSUs) [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based Payment Arrangement, Expense $ 376 390 300    
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 (13,402)        
Shares, Issued 163,264        
Share-based Payment Arrangement, Expense $ 2,986 $ 1,443 $ 1,151    
Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Granted 71,420        
Shares, Outstanding 282,942 204,501      
Treasury Stock [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Treasury Stock, Shares, Acquired 170,524 528,563 564,822    
Share-based Compensation Arrangement by Share-based Payment Award, Shares Issued in Period 140,280 113,408      
Shares, Issued 1,316,998 1,287,134 884,518   843,993
Options exercised, shares 0 5,750 22,500    
Share-based Payment Arrangement, Nonemployee [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Shares, Issued 380 6,789      
Share Repurchase Program [Domain]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Treasury Stock, Shares, Acquired   263,160      
Equity Incentive Plan [Member]          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Common Stock, Shares Authorized 3,000,000.0