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Income Taxes - Additional Information (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Income Taxes [Line Items]        
Foreign pretax earnings $ 42,200 $ 36,000 $ 10,800  
Current foreign tax expense related to foreign tax withholdings 6,400 6,500 6,000  
Unrecognized tax benefits 7,994 $ 5,834 $ 6,113 $ 6,480
Unrecognized tax benefits that would impact the effective tax rate if recognized 7,800      
Unrecognized tax benefits, accrued interest $ 400      
Effective income tax rate 21.00% 21.00% 24.50%  
Unremitted earnings of foreign subsidiaries $ 111,700      
California Franchise Tax Board | Research Tax Credit Carryforward        
Income Taxes [Line Items]        
Excess state research credit 16,600      
Valuation allowance 16,600      
U.S. Federal        
Income Taxes [Line Items]        
Net operating loss carryforwards $ 7,600      
Net operating loss carryforwards expiration dates 2024      
U.S. Federal | Research Tax Credit Carryforward        
Income Taxes [Line Items]        
Excess state research credit $ 4,700      
State        
Income Taxes [Line Items]        
Net operating loss carryforwards $ 100      
Net operating loss carryforwards expiration dates 2021      
Foreign NOL carryforwards        
Income Taxes [Line Items]        
Net operating loss carryforwards $ 31,300      
Foreign NOL carryforwards | China        
Income Taxes [Line Items]        
Net operating loss carryforwards 5,500      
Foreign NOL carryforwards | GERMANY        
Income Taxes [Line Items]        
Net operating loss carryforwards $ 19,500