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Goodwill and Intangible Assets - Components of Identifiable Intangible Assets (Details) - USD ($)
$ in Thousands
Sep. 30, 2023
Sep. 30, 2022
Finite-Lived Intangible Assets [Line Items]    
Cost $ 515,636 $ 348,982
Accumulated Amortization 221,335 170,581
Net Book Value 294,301 178,401
Patents    
Finite-Lived Intangible Assets [Line Items]    
Cost 1,226 1,225
Accumulated Amortization 1,175 1,106
Net Book Value 51 119
Completed Technology    
Finite-Lived Intangible Assets [Line Items]    
Cost 215,430 99,525
Accumulated Amortization 56,021 37,991
Net Book Value 159,409 61,534
Trademarks and Trade Names    
Finite-Lived Intangible Assets [Line Items]    
Cost 6,630 400
Accumulated Amortization 1,445 41
Net Book Value 5,185 359
Non-competition agreements    
Finite-Lived Intangible Assets [Line Items]    
Cost 681 681
Accumulated Amortization 568 439
Net Book Value 113 242
Customer Relationships    
Finite-Lived Intangible Assets [Line Items]    
Cost 290,800 246,949
Accumulated Amortization 161,257 130,802
Net Book Value 129,543 116,147
Other Intangible Assets    
Finite-Lived Intangible Assets [Line Items]    
Cost 869 202
Accumulated Amortization $ 869 $ 202