Restructuring and Other Charges - Schedule of Restructuring Accrual Activity (Details) - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2022	Sep. 30, 2021	Sep. 30, 2020
Restructuring Reserve [Roll Forward]
Restructuring reserve, beginning balance	$ 5,486	$ 9,987	$ 31,086
Charges (credits) to operations, net	32,410	2,136	26,427
Cash disbursements	(40,800)	(6,681)	(31,502)
Other non-cash			164
Foreign exchange impact	(583)	44	274
Restructuring reserve, ending balance	935	5,486	9,987
Accounting Standards Update 2016-02
Restructuring Reserve [Roll Forward]
ASC 842 adoption			(16,462)
Employee Severance and Related Benefits
Restructuring Reserve [Roll Forward]
Restructuring reserve, beginning balance	1,981	3,992	298
Charges (credits) to operations, net	32,971	1,887	30,690
Cash disbursements	(34,023)	(3,925)	(27,256)
Other non-cash			0
Foreign exchange impact	(583)	27	260
Restructuring reserve, ending balance	346	1,981	3,992
Employee Severance and Related Benefits | Accounting Standards Update 2016-02
Restructuring Reserve [Roll Forward]
ASC 842 adoption			0
Facility Closures
Restructuring Reserve [Roll Forward]
Restructuring reserve, beginning balance	3,505	5,995	30,788
Charges (credits) to operations, net	(561)	249	(4,263)
Cash disbursements	(2,355)	(2,756)	(4,246)
Other non-cash			164
Foreign exchange impact	0	17	14
Restructuring reserve, ending balance	589	$ 3,505	5,995
Facility Closures | Accounting Standards Update 2016-02
Restructuring Reserve [Roll Forward]
ASC 842 adoption			$ (16,462)
PTC Restructuring Plan 2022
Restructuring Reserve [Roll Forward]
Cash disbursements	$ (36,378)