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Composition of Certain Financial Statement Captions - Property and Equipment (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2020
Sep. 30, 2022
Sep. 30, 2021
Property, Plant and Equipment [Abstract]      
Property, Plant and Equipment Impairment or Disposal Disclosure $ 5,200    
Property, Plant and Equipment [Line Items]      
Less: accumulated depreciation and amortization   $ (94,831) $ (97,053)
Property and equipment, net   17,580 27,913
Technology Equipment      
Property, Plant and Equipment [Line Items]      
Property, Plant and Equipment, Gross   76,335 86,144
Office Equipment      
Property, Plant and Equipment [Line Items]      
Property, Plant and Equipment, Gross   14,790 16,754
Leasehold improvements      
Property, Plant and Equipment [Line Items]      
Property, Plant and Equipment, Gross   $ 21,286 $ 22,068