Goodwill and Other Intangible Assets - Summary of Gross Carrying Amounts and Accumulated Amortization of Intangible Assets by Major Class (Details) - USD ($) $ in Thousands	9 Months Ended	12 Months Ended
	Jun. 30, 2022	Sep. 30, 2021
Finite Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 196,397	$ 201,223
Accumulated Amortization	(183,851)	(175,875)
Net Carrying Amount	12,546	25,348
Customer Relationships
Finite Lived Intangible Assets [Line Items]
Gross Carrying Amount	106,870	110,485
Accumulated Amortization	(94,945)	(88,638)
Net Carrying Amount	$ 11,925	$ 21,847
Weighted Average Remaining Life (Years)	1 year 9 months 18 days	2 years 2 months 12 days
Technology and Patents
Finite Lived Intangible Assets [Line Items]
Gross Carrying Amount	$ 89,527	$ 90,738
Accumulated Amortization	(88,906)	(87,237)
Net Carrying Amount	$ 621	$ 3,501
Weighted Average Remaining Life (Years)	1 year 6 months	10 months 24 days