Income Taxes - Summary of Federal Income Tax Rate and Effective Income Tax Rate (Details) - USD ($) $ in Thousands		12 Months Ended
Jun. 01, 2022	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Reconciliation, Amount
Statutory federal income tax rate		$ 98,482	$ 69,839	$ 83,391
State income taxes, net of federal tax benefit		4,631	577	6,518
Federal research and development credits		(11,203)	(7,751)	(7,477)
Uncertain tax positions		7,268	23,302	2,418
Foreign tax credit		(30,119)	(11,415)	(9,078)
Foreign rate differences		(15,368)	(20,829)	(8,982)
Foreign tax on U.S. provision		15,120	11,415	9,078
Excess tax benefits from restricted stock		(9,225)	(6,963)	(8,278)
U.S. permanent items		2,711	5,341	3,453
Non-deductible compensation		10,157	8,344	11,851
Base Erosion Anti-Abuse Tax (BEAT)		3,264	0	0
GILTI, net of foreign tax credits		31,388	17,861	2,705
Foreign-Derived Intangible Income (FDII)		(15,148)	(8,987)	(6,848)
Non-deductible imputed interest		0	6,292	0
Other, net		671	0	(1,578)
Provision for income taxes		$ 92,629	$ 87,026	$ 84,017
Reconciliation, Percent
Statutory federal income tax rate		21.00%	21.00%	21.00%
State income taxes, net of federal tax benefit		1.00%	0.00%	2.00%
Federal research and development credits		(2.00%)	(2.00%)	(2.00%)
Uncertain tax positions		2.00%	7.00%	1.00%
Foreign tax credit		(7.00%)	(3.00%)	(2.00%)
Foreign rate differences		(3.00%)	(6.00%)	(2.00%)
Foreign tax on U.S. provision		3.00%	3.00%	2.00%
Excess tax benefits from restricted stock		(2.00%)	(2.00%)	(2.00%)
U.S. permanent items		0.00%	2.00%	0.00%
Non-deductible compensation		2.00%	3.00%	3.00%
Base Erosion Anti-Abuse Tax (BEAT)		1.00%	0.00%	0.00%
GILTI, net of foreign tax credits		7.00%	5.00%	1.00%
Foreign-Derived Intangible Income (FDII)		(3.00%)	(3.00%)	(2.00%)
Non-deductible imputed interest		0.00%	2.00%	0.00%
Other, net		0.00%	(1.00%)	(1.00%)
Provision for income taxes		20.00%	26.00%	21.00%
PLM Services Business Disposition
Reconciliation, Amount
Sale of a portion of the PLM services business	$ 60,400	$ 0	$ 0	$ 6,844
Reconciliation, Percent
Sale of a portion of the PLM services business		0.00%	0.00%	2.00%

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