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Income Taxes - Provision (Benefit) (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Jun. 30, 2023
Jun. 30, 2022
Jun. 30, 2023
Jun. 30, 2022
Income Tax Expense (Benefit), Continuing Operations [Abstract]        
Income tax expense (benefit) $ (1,207) $ 7,293 $ (9,107) $ (560)
Deferred tax benefit resulting from the extension of a tax incentive in China     1,400  
Benefit related to stock compensation windfalls       4,600
Charge to increase the deferred tax liability to reflect a change in the blended state income tax rate that results from the sale of the semiconductor business assets       $ 700
Pre-tax income not subject to income taxes $ 18,500   $ 18,500