Goodwill and Intangible Assets - Components of Identifiable Intangible Assets (Details) - USD ($) $ in Thousands	Sep. 30, 2022	Sep. 30, 2021
Finite-Lived Intangible Assets [Line Items]
Cost	$ 348,982	$ 331,606
Accumulated Amortization	170,581	145,072
Net Book Value	178,401	186,534
Patents
Finite-Lived Intangible Assets [Line Items]
Cost	1,225	1,242
Accumulated Amortization	1,106	1,002
Net Book Value	119	240
Completed Technology
Finite-Lived Intangible Assets [Line Items]
Cost	99,525	75,527
Accumulated Amortization	37,991	32,383
Net Book Value	61,534	43,144
Trademarks and Trade Names
Finite-Lived Intangible Assets [Line Items]
Cost	400	424
Accumulated Amortization	41	33
Net Book Value	359	391
Noncompete Agreements
Finite-Lived Intangible Assets [Line Items]
Cost	681	681
Accumulated Amortization	439	249
Net Book Value	242	432
Customer Relationships
Finite-Lived Intangible Assets [Line Items]
Cost	246,949	253,486
Accumulated Amortization	130,802	111,159
Net Book Value	116,147	142,327
Other Intangible Assets
Finite-Lived Intangible Assets [Line Items]
Cost	202	246
Accumulated Amortization	$ 202	$ 246