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Goodwill and Intangible Assets - Components of Identifiable Intangible Assets (Details) - USD ($)
$ in Thousands
Jun. 30, 2022
Sep. 30, 2021
Finite-Lived Intangible Assets [Line Items]    
Cost $ 326,189 $ 331,606
Accumulated Amortization 165,498 145,072
Net Book Value 160,691 186,534
Patents    
Finite-Lived Intangible Assets [Line Items]    
Cost 1,226 1,242
Accumulated Amortization 1,077 1,002
Net Book Value 149 240
Completed Technology    
Finite-Lived Intangible Assets [Line Items]    
Cost 74,361 75,527
Accumulated Amortization 37,029 32,383
Net Book Value 37,332 43,144
Trademarks and Trade Names    
Finite-Lived Intangible Assets [Line Items]    
Cost 424 424
Accumulated Amortization 56 33
Net Book Value 368 391
Noncompete Agreements    
Finite-Lived Intangible Assets [Line Items]    
Cost 681 681
Accumulated Amortization 391 249
Net Book Value 290 432
Customer Relationships    
Finite-Lived Intangible Assets [Line Items]    
Cost 249,277 253,486
Accumulated Amortization 126,725 111,159
Net Book Value 122,552 142,327
Other Intangible Assets    
Finite-Lived Intangible Assets [Line Items]    
Cost 220 246
Accumulated Amortization $ 220 $ 246