Goodwill and Intangible Assets - Components of Identifiable Intangible Assets (Details) - USD ($) $ in Thousands	Jun. 30, 2023	Sep. 30, 2022
Finite-Lived Intangible Assets [Line Items]
Cost	$ 593,119	$ 348,982
Accumulated Amortization	281,064	170,581
Net Book Value	312,055	178,401
Patents
Finite-Lived Intangible Assets [Line Items]
Cost	8,996	1,225
Accumulated Amortization	8,928	1,106
Net Book Value	68	119
Completed Technology
Finite-Lived Intangible Assets [Line Items]
Cost	252,424	99,525
Accumulated Amortization	84,206	37,991
Net Book Value	168,218	61,534
Trademarks and Trade Names
Finite-Lived Intangible Assets [Line Items]
Cost	8,909	400
Accumulated Amortization	3,173	41
Net Book Value	5,736	359
Noncompete Agreements
Finite-Lived Intangible Assets [Line Items]
Cost	731	681
Accumulated Amortization	586	439
Net Book Value	145	242
Customer Relationships
Finite-Lived Intangible Assets [Line Items]
Cost	321,155	246,949
Accumulated Amortization	183,943	130,802
Net Book Value	137,212	116,147
Other Intangible Assets
Finite-Lived Intangible Assets [Line Items]
Cost	904	202
Accumulated Amortization	228	$ 202
Net Book Value	$ 676