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Revenue from Contracts with Customers - Contract Balances - Receivables (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Revenue from Contract with Customer [Abstract]      
Billed Receivables $ 203,351 $ 198,305  
Unbilled Receivables 165,386 155,408  
Receivables Gross 368,737 353,713  
Allowance for doubtful accounts (4,218) (4,154) $ (5,072)
Net receivables 364,519 349,559  
Accounts Receivable, net , noncurrent (42,109) (37,452)  
Accounts receivable, net 322,410 312,107  
Expense, Allowance for Credit Loss 2,300 652  
Write-off $ (2,236) $ (1,570)