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Income Taxes - Rate (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Effective income tax rate reconciliation      
Statutory federal tax rate (as a percent) 21.00% 21.00% 21.00%
Tax provision for income taxes at the statutory rate $ 12,099 $ (2,054) $ (1,575)
Foreign tax rate differentials (307) (59) 107
Provision for state taxes, net of federal taxes 974 (84) (145)
U.S. tax on distributed and undistributed earnings of foreign subsidiaries 984 198 (289)
Foreign derived intangible income deduction (966)    
Tax credits (702) (691) (1,058)
Federal and state tax rate change impact on deferred tax asset (206) 790 (60)
Change in valuation allowance 804 415 1,801
Stock compensation 191 138 24
Other, net (344) 247 175
Total provision for (benefit from) income taxes $ 12,527 $ (1,100) $ (1,020)
Effective tax rate (as a percent) 21.70% 11.20% 13.60%