Income Taxes - Provision For (Benefit From) Income Taxes (Details) - USD ($) $ in Thousands	9 Months Ended	12 Months Ended
Jun. 30, 2022	Jun. 30, 2023	Jun. 30, 2022	Sep. 30, 2021
Income Tax Reconciliation
Taxes at U.S. statutory rate (21%)	$ 8,392	$ (37,919)		$ (13,842)
State and local taxes, net of federal tax benefit	(7,003)	(1,762)		(3,141)
Foreign derived intangible income (FDII)	17,150	36,436		0
Global Intangible Low-Taxed Income (GILTI)	446	3,027		0
Foreign taxes and rate differences	2,669	(2,943)		1,181
Uncertain tax positions	(2,556)	405		(2,522)
Stock-based compensation	152	4,828		0
Return to Provision	498	4,070		0
Tax credits	(3,385)	(396)		(523)
Change in valuation allowance	5,287	(5,680)		(27,953)
Other	(535)	0		1,495
(Benefit) for income taxes	$ (13,185)	$ (72,806)	$ (17,498)	$ (45,305)

Amount of reported income tax benefit from difference to expected income tax expense (benefit) computed by applying domestic federal statutory income tax rate to pretax income (loss) from continuing operations, attributable to foreign-derived intangible income (FDII).

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Amount of reported income tax expense from difference to expected income tax expense (benefit) computed by applying domestic federal statutory income tax rate to pretax income (loss) from continuing operations, attributable to global intangible low-taxed income (GILTI).

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Amount of difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying domestic federal statutory income tax rate to pretax income (loss) from continuing operation, attributable to expense for award under share-based payment arrangement. Excludes expense determined to be nondeductible upon grant or after for award under share-based payment arrangement.

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Amount of current income tax expense (benefit) and deferred income tax expense (benefit) pertaining to continuing operations.

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The amount of income tax expense or benefit for the period computed by applying the domestic federal statutory tax rates to pretax income from continuing operations.

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Amount of the difference between reported income tax expense (benefit) and expected income tax expense (benefit) computed by applying the domestic federal statutory income tax rates to pretax income (loss) from continuing operations attributable to tax exempt income, equity in earnings (loss) of an unconsolidated subsidiary, minority noncontrolling interest income (loss), tax holiday, disposition of a business, disposition of an asset, repatriation of foreign earnings, repatriation of foreign earnings jobs creation act of 2004, increase (decrease) in enacted tax rate, prior year income taxes, increase (decrease) in deferred tax asset valuation allowance, and other adjustments.

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Amount of increase (decrease) in unrecognized tax benefits attributable to uncertain tax positions taken in tax returns.

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