Goodwill and Other Intangible Assets - Summary of Gross Carrying Amounts and Accumulated Amortization of Intangible Assets by Major Class (Details) - USD ($) $ in Thousands	3 Months Ended	12 Months Ended
	Dec. 31, 2021	Sep. 30, 2021
Finite Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 200,327	$ 201,223
Accumulated Amortization	(180,189)	(175,875)
Net Carrying Amount	20,138	25,348
Customer Relationships
Finite Lived Intangible Assets [Line Items]
Gross Carrying Amount	109,833	110,485
Accumulated Amortization	(91,317)	(88,638)
Net Carrying Amount	$ 18,516	$ 21,847
Weighted Average Remaining Life (Years)	2 years 1 month 6 days	2 years 2 months 12 days
Technology and Patents
Finite Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 90,494	$ 90,738
Accumulated Amortization	(88,872)	(87,237)
Net Carrying Amount	$ 1,622	$ 3,501
Weighted Average Remaining Life (Years)	1 year 1 month 6 days	10 months 24 days