Restructuring and Other Costs, Net - Schedule of Accrual Activity Relating to Restructuring Charges (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Restructuring Cost And Reserve [Line Items]
Beginning Balance	$ 5,035	$ 2,702	$ 4,391
Restructuring and other costs, net	8,965	5,092	16,458
Non-cash adjustment	(4,708)	1,809	(1,031)
Cash payments	(4,082)	(4,507)	(17,121)
Foreign exchange impact on ending balance	(56)	(61)	5
Ending Balance	5,154	5,035	2,702
Personnel
Restructuring Cost And Reserve [Line Items]
Beginning Balance	1,620	764	489
Restructuring and other costs, net	1,676	1,689	3,694
Cash payments	(2,021)	(839)	(3,420)
Foreign exchange impact on ending balance	2	6	1
Ending Balance	1,277	1,620	764
Facilities
Restructuring Cost And Reserve [Line Items]
Beginning Balance	1,881	10	26
Restructuring and other costs, net	673	1,394	1,037
Non-cash adjustment	(708)	1,809	(1,031)
Cash payments	(188)	(1,265)	(26)
Foreign exchange impact on ending balance	(58)	(67)	4
Ending Balance	1,600	1,881	10
Restructuring Subtotal
Restructuring Cost And Reserve [Line Items]
Beginning Balance	3,501	774	515
Restructuring and other costs, net	2,349	3,083	4,731
Non-cash adjustment	(708)	1,809	(1,031)
Cash payments	(2,209)	(2,104)	(3,446)
Foreign exchange impact on ending balance	(56)	(61)	5
Ending Balance	2,877	3,501	774
Other
Restructuring Cost And Reserve [Line Items]
Beginning Balance	1,534	1,928	3,876
Restructuring and other costs, net	6,616	2,009	11,727
Non-cash adjustment	(4,000)
Cash payments	(1,873)	(2,403)	(13,675)
Ending Balance	$ 2,277	$ 1,534	$ 1,928