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Goodwill and Intangible Assets - Components of Identifiable Intangible Assets (Details) - USD ($)
$ in Thousands
Sep. 30, 2021
Sep. 30, 2020
Finite-Lived Intangible Assets [Line Items]    
Cost $ 331,606 $ 331,325
Accumulated Amortization 145,072 119,002
Net Book Value 186,534 212,323
Patents    
Finite-Lived Intangible Assets [Line Items]    
Cost 1,242 1,235
Accumulated Amortization 1,002 798
Net Book Value 240 437
Completed Technology    
Finite-Lived Intangible Assets [Line Items]    
Cost 75,527 62,646
Accumulated Amortization 32,383 24,082
Net Book Value 43,144 38,564
Trademarks and Trade Names    
Finite-Lived Intangible Assets [Line Items]    
Cost 424 25,569
Accumulated Amortization 33 9,122
Net Book Value 391 16,447
Noncompete Agreements    
Finite-Lived Intangible Assets [Line Items]    
Cost 681  
Accumulated Amortization 249  
Net Book Value 432  
Customer Relationships    
Finite-Lived Intangible Assets [Line Items]    
Cost 253,486 241,630
Accumulated Amortization 111,159 84,758
Net Book Value 142,327 156,872
Other Intangible Assets    
Finite-Lived Intangible Assets [Line Items]    
Cost 246 245
Accumulated Amortization $ 246 242
Net Book Value   $ 3