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Income Taxes - Reconciliation Between Federal Statutory Income Tax Rate and Effective Tax Rate (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2021	Sep. 30, 2020	Sep. 30, 2019
Income Tax Disclosure [Abstract]
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent	21.00%
Effective Income Tax Rate Reconciliation at Federal Statutory Income Tax Rate, Amount	$ 99,360	$ 53,970	$ 45,375
Effective Income Tax Rate Reconciliation, State and Local Income Taxes, Amount	7,815	4,619	4,194
Effective Income Tax Rate Reconciliation, Foreign Income Tax Rate Differential, Amount	1,490	493	839
Effective Income Tax Rate Reconciliation, Tax Credit, Research, Amount	(6,795)	(5,868)	(5,761)
Effective Income Tax Rate Reconciliation, Change in Deferred Tax Assets Valuation Allowance, Amount	3,839	5,332	(333)
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Share-based Payment Arrangement, Amount	(15,573)	(45,086)	(24,891)
GILTI, FDII and BEAT	(4,958)	7,136	1,467
Effective Income Tax Rate Reconciliation, Other Adjustments, Amount	(4,120)	(7)	3,058
Total provision	$ 81,058	$ 20,589	$ 23,948

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Percentage of domestic federal statutory tax rate applicable to pretax income (loss).

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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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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 increase (decrease) in the valuation allowance for deferred tax assets.

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