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Income Taxes - Schedule of Reconciliation Difference of Income Taxes (Detail) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Income Tax Disclosure [Abstract]      
Amount at statutory U.S. federal income tax rate $ (4,724) $ 1,333 $ (305)
Change because of the following items:      
State income taxes, net of federal benefit (897) (273) (551)
Foreign and state rate differential 628 596 212
U.S. federal and foreign R&D credits (1,511) (920) (1,571)
Valuation allowance change 10,978 1,059 825
Stock-based compensation 481 (544) (81)
U.S. Federal and state rate change   (35) 17
Tax reserve change (123) (150) 609
Foreign-derived income deduction     (88)
Impact of CARES Act   735 1,700
Acquisition-related transaction costs   187  
Other (51) 121 56
Total income tax expense (benefit) $ 4,781 $ 2,109 $ (2,577)