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Capitalized Software, Net (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Finite-Lived Intangible Assets [Line Items]      
Estimated Useful Life 3 years    
Accumulated amortization $ (27,198) $ (16,937)  
Capitalized software, net 62,577 52,341  
Software capitalized during the period 25,441 19,957  
Amortization expense 12,545 8,987 $ 6,276
Amounts written down to net realizable value 2,660 0 $ 0
Software development costs      
Finite-Lived Intangible Assets [Line Items]      
Capitalized software 81,141 60,013  
Development in progress      
Finite-Lived Intangible Assets [Line Items]      
Capitalized software $ 8,634 $ 9,265  
Minimum | Software development costs      
Finite-Lived Intangible Assets [Line Items]      
Estimated Useful Life 3 years    
Maximum | Software development costs      
Finite-Lived Intangible Assets [Line Items]      
Estimated Useful Life 7 years