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Revenue from Contracts with Customers - Contract Balances (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Accounts Receivable, after Allowance for Credit Loss, Current [Abstract]    
Accounts receivable, net $ 163,758 $ 119,877
Contract with Customer, Asset, after Allowance for Credit Loss, Current [Abstract]    
Contract assets 18,200 15,300
Contract with Customer, Liability [Abstract]    
Contract liabilities 39,700 $ 25,700
Revenue recognized $ 13,900