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Income Taxes (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Income Tax Contingency [Line Items]        
Unrecognized Tax Benefits $ 1,123 $ 1,050 $ 1,075 $ 0
Income Tax Examination, Penalties and Interest Accrued $ (238) (143) (95)  
Federal statutory income tax rate, percent 21.00%      
Income tax expense $ (10,080) (7,371) (9,587)  
Undistributed earnings of foreign subsidiaries 77,709 53,766 49,480  
Net operating loss carryforwards 48,605 29,407    
Domestic Tax Authority        
Income Tax Contingency [Line Items]        
Operating loss carryforwards 190,386      
State and Local Jurisdiction        
Income Tax Contingency [Line Items]        
Operating loss carryforwards 106,687      
Foreign Tax Authority        
Income Tax Contingency [Line Items]        
Operating loss carryforwards 2,558      
Foreign Tax Authority with Indefinite Expiration        
Income Tax Contingency [Line Items]        
Operating loss carryforwards 8,107      
Other Current Liabilities        
Income Tax Contingency [Line Items]        
Unrecognized Tax Benefits $ 1,599 $ 1,288 $ 1,170