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Income Taxes - Provision (Benefit) (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Jun. 30, 2020
Jun. 30, 2019
Jun. 30, 2020
Jun. 30, 2019
Income Tax Expense (Benefit), Continuing Operations [Abstract]        
Income tax expense (benefit) $ 5,120 $ 7,260 $ 5,557 $ 400
Expense related to transition tax   4,300   3,200
Benefit related to stock compensation windfalls   400 6,100 $ 4,500
Benefit from a reduction of deferred tax liabilities related to the extension of a tax rate incentive in China     $ 500  
Benefit related to remeasurement of net U.S. deferred tax assets   1,400    
Benefit related to reduction of reserves   $ 300