Goodwill and Intangible Assets - Components of Identifiable Intangible Assets (Details) - USD ($) $ in Thousands	Dec. 31, 2022	Sep. 30, 2022
Finite-Lived Intangible Assets [Line Items]
Cost	$ 512,539	$ 348,982
Accumulated Amortization	185,433	170,581
Net Book Value	327,106	178,401
Patents
Finite-Lived Intangible Assets [Line Items]
Cost	1,225	1,225
Accumulated Amortization	1,123	1,106
Net Book Value	102	119
Completed Technology
Finite-Lived Intangible Assets [Line Items]
Cost	212,205	99,525
Accumulated Amortization	42,718	37,991
Net Book Value	169,487	61,534
Trademarks and Trade Names
Finite-Lived Intangible Assets [Line Items]
Cost	6,373	400
Accumulated Amortization	416	41
Net Book Value	5,957	359
Noncompete Agreements
Finite-Lived Intangible Assets [Line Items]
Cost	681	681
Accumulated Amortization	471	439
Net Book Value	210	242
Customer Relationships
Finite-Lived Intangible Assets [Line Items]
Cost	291,201	246,949
Accumulated Amortization	140,340	130,802
Net Book Value	150,861	116,147
Other Intangible Assets
Finite-Lived Intangible Assets [Line Items]
Cost	854	202
Accumulated Amortization	365	$ 202
Net Book Value	$ 489