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Restructuring and Other Charges - Additional Information (Details) $ in Thousands	3 Months Ended			6 Months Ended		12 Months Ended
	Mar. 31, 2022 USD ($)	Sep. 30, 2021 USD ($)	Mar. 31, 2021 USD ($)	Mar. 31, 2022 USD ($) Employee	Mar. 31, 2021 USD ($)	Sep. 30, 2020 USD ($) Employee
Restructuring Cost And Reserve [Line Items]
Restructuring and other charges, net	$ 1,562		$ (469)	$ (32,429)	$ (716)
Restructuring charges (credits)	1,100		(200)	(33,051)	(362)
Sublease income	1,113		1,131	2,230	2,215
Payments for restructuring	17,300			27,080	5,421
Professional fees		$ 1,700
Restructuring Plan 2022
Restructuring Cost And Reserve [Line Items]
Payments for restructuring	16,500			25,600
PTC Prior Restructuring
Restructuring Cost And Reserve [Line Items]
Payments for restructuring	100			100
Impairment and Accretion Exited Lease Facilities
Restructuring Cost And Reserve [Line Items]
Sublease income	500			700
Restructured Facilities \| PTC Prior Restructuring
Restructuring Cost And Reserve [Line Items]
Payments for restructuring	700			1,400
Impairment and Accretion Expense Related to Exited Facilities
Restructuring Cost And Reserve [Line Items]
Restructuring and other charges, net			$ (300)		(300)
Employee Severance and Related Benefits
Restructuring Cost And Reserve [Line Items]
Restructuring charges (credits)				(33,428)	(163)
Payments for restructuring				25,744	3,924
Employee Severance and Related Benefits \| Restructuring Plan 2022
Restructuring Cost And Reserve [Line Items]
Restructuring charges (credits)	$ 500			$ (33,600)
Number of employees \| Employee				330
Employee Severance and Related Benefits \| Restructuring Plan 2022 \| Minimum
Restructuring Cost And Reserve [Line Items]
Restructuring charges (credits)				$ (35,000)
Employee Severance and Related Benefits \| Restructuring Plan 2022 \| Maximum
Restructuring Cost And Reserve [Line Items]
Restructuring charges (credits)				(40,000)
Employee Severance and Related Benefits \| Restructuring Plan 2020
Restructuring Cost And Reserve [Line Items]
Restructuring charges (credits)				$ 100	$ (200)	$ (30,800)
Number of employees \| Employee						250