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Revenue from Contracts with Customers - Contract Assets and Liabilities (Details) - USD ($)
$ in Thousands
6 Months Ended
Mar. 31, 2023
Mar. 31, 2022
Change in Contract with Customer, Liability [Roll Forward]    
Beginning Balance $ 1,691,580 $ 1,489,841
Amounts added but not recognized as revenues 785,122 723,631
Deferred revenue acquired through acquisition of businesses 1,800 10,591
Revenues recognized related to the opening balance of deferred revenue (682,190) (624,327)
Ending Balance $ 1,796,312 $ 1,599,736