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Income Taxes (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Income Tax Examination [Line Items]      
Current Federal Tax Expense (Benefit) $ 9,401 $ 2 $ (39)
Deferred Federal Income Tax Expense (Benefit) 3 11,678 9,317
Current State and Local Tax Expense (Benefit) 3,445 4,505 3,657
Deferred State and Local Income Tax Expense (Benefit) (34) 46 (4,195)
Provision for income taxes 12,815 16,231 8,740
Effective Income Tax Rate Reconciliation at Federal Statutory Income Tax Rate, Amount 11,130 17,830 10,352
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Amount 471 658 1,974
Effective Income Tax Rate Reconciliation, State and Local Income Taxes, Amount 2,114 3,876 2,662
Effective Income Tax Rate Reconciliation, Change in Deferred Tax Assets Valuation Allowance, Amount (283) (118) 3,334
Effective Income Tax Rate Reconciliation, Other Adjustments, Amount 427 0 261
Effective Income Tax Rate Reconciliation, Tax Credit, Other, Amount (665) (715) (75)
Effective Income Tax Rate Reconciliation, Tax Contingency, Amount (133) (2,898) (1,313)
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Other, Amount (812) (2,241) (1,787)
Effective Income Tax Rate Reconciliation, Other Reconciling Items, Amount 0 (161) 0
Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Allowance for Doubtful Accounts 1,246 541  
Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Accrued Liabilities 18,645 17,134  
Deferred Tax Assets, Operating Loss Carryforwards 4,542 6,445  
Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Other 1,318 1,285  
Deferred Tax Assets, Investments 125 210  
Deferred Tax Assets, Tax Deferred Expense, Compensation and Benefits, Share-based Compensation Cost 1,142 1,079  
Deferred Tax Assets, Capital Loss Carryforwards 82 1  
Deferred Tax Assets, Leases 12,534 9,634  
Deferred Tax Assets, Other 4,236 2,914  
Deferred Tax Assets, Gross 43,870 39,243  
Deferred Tax Assets, Valuation Allowance 875 592  
Deferred Tax Assets, Net of Valuation Allowance 42,995 38,651  
Deferred Tax Liabilities, Property, Plant and Equipment 126 509  
Deferred Tax Liabilities, Goodwill and Intangible Assets 9,044 8,765  
Deferred Tax Liabilities, Leasing Arrangements 12,500 9,615  
Deferred Tax Liabilities, Other 806 753  
Deferred Tax Liabilities, Gross 22,476 19,642  
Deferred tax assets 20,519 19,009  
Operating Loss Carryforwards 61,034    
Operating Loss Carryforwards Attributable To Goodwill Amortization 55,124    
Deferred Tax Assets, Operating Loss Carryforwards, State and Local 71,723    
Unrecognized Tax Benefits 21,879 24,861  
Unrecognized Tax Benefits, Increase Resulting from Current Period Tax Positions 0 59  
Unrecognized Tax Benefits, Increase Resulting from Prior Period Tax Positions 26 20  
Unrecognized Tax Benefits, Reduction Resulting from Lapse of Applicable Statute of Limitations 159 3,061  
Unrecognized Tax Benefits 21,746 21,879 $ 24,861
Increase in Unrecognized Tax Benefits is Reasonably Possible 172    
Unrecognized Tax Benefits, Income Tax Penalties and Interest Accrued 52 $ 50  
State and Local Jurisdiction [Member]      
Income Tax Examination [Line Items]      
Operating Loss Carryforwards Attributable To Goodwill Amortization $ 5,520