Income Taxes - Provision (Benefit) (Details) - USD ($) $ in Thousands	3 Months Ended		9 Months Ended
	Jun. 30, 2022	Jun. 30, 2021	Jun. 30, 2022	Jun. 30, 2021
Income Tax Expense (Benefit), Continuing Operations [Abstract]
Income tax expense (benefit)	$ 7,293	$ (760)	$ (560)	$ (4,620)
Benefit from multiple releases of unrecognized tax benefits and accrued interest due to statute of limitations expirations		$ 1,500
Benefit related to stock compensation windfalls			4,600	$ 2,000
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