Income Taxes - Additional Information (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020	Jun. 30, 2022
Income Taxes [Line Items]
U.S. federal statutory rates	21.00%	21.00%	21.00%
Income tax expense (benefit)	$ 112,075	$ 2,376	$ (4,724)
Deferred tax assets valuation allowance	126,860	12,209
Uncertain tax positions	76,590	$ 87,144	67,358
Operating loss carryforwards expiration year		2026
Uncertain tax positions cumulative translation adjustments	(13,200)	$ 800
Increases related to tax positions taken from prior periods	2,277	9,367
Interest related to uncertain tax positions	(300)	300	(100)
Recognized interest income	3,500	$ 4,200
Minimum | Research and Development
Income Taxes [Line Items]
Operating loss carryforwards expiration year		2023
Maximum | Research and Development
Income Taxes [Line Items]
Operating loss carryforwards expiration year		2041
U.S. Federal
Income Taxes [Line Items]
Net operating loss carryforwards	43,600	$ 15,000
U.S. Federal | Research and Development
Income Taxes [Line Items]
Net operating loss carryforwards	10,100	10,800
Uncertain tax positions	8,100	9,100
U.S. Federal | Unlimited Period
Income Taxes [Line Items]
Net operating loss carryforwards	42,800
State
Income Taxes [Line Items]
Net operating loss carryforwards	11,900	4,300
State | Research and Development
Income Taxes [Line Items]
Net operating loss carryforwards	200	300
Asset and Liability Method
Income Taxes [Line Items]
Pre-spin tax attributes and recognized beginning balance adjustments uncertain tax positions		9,100
Domestic
Income Taxes [Line Items]
Deferred tax assets valuation allowance	8,200	8,200
Foreign
Income Taxes [Line Items]
Deferred tax assets valuation allowance	118,700	4,000
Net operating loss carryforwards	184,900	99,900
Uncertain tax positions	39,500	32,800
Foreign | Research and Development
Income Taxes [Line Items]
Net operating loss carryforwards	4,900	4,300
Netherlands
Income Taxes [Line Items]
Income tax expense (benefit)		(15,900)	$ (5,000)
Deferred tax assets valuation allowance				$ 107,600
Net operating loss carryforwards	$ 157,400	$ 70,100