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Income Taxes - Additional Information (Detail) - USD ($)
3 Months Ended 6 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2022
Mar. 31, 2021
Sep. 30, 2021
Income Tax Disclosure [Line Items]          
Income tax benefit (expense) $ 919,000 $ (1,438,000) $ 1,625,000 $ (1,606,000)  
U.S. federal statutory tax rate 21.00% 21.00% 21.00% 21.00%  
Discrete tax benefits related to stock-based compensation awards   $ 700,000 $ 100,000 $ 700,000  
Unrecognized tax benefits excluding interest and penalties that would impact effective tax rate $ 3,000,000.0   3,000,000.0   $ 2,700,000
Undistributed earnings in foreign subsidiaries 0   $ 0   $ 0
Maximum [Member]          
Income Tax Disclosure [Line Items]          
Discrete tax benefits related to stock-based compensation awards $ 100,000