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Revenue from Contracts with Customers - Contract Assets and Liabilities (Details) - USD ($)
$ in Thousands
9 Months Ended
Jun. 30, 2023
Jun. 30, 2022
Change in Contract with Customer, Liability [Roll Forward]    
Beginning Balance $ 1,691,580 $ 1,489,841
Amounts added but not recognized as revenues 1,012,441 973,673
Deferred revenue acquired through acquisition of businesses 1,800 10,591
Revenues recognized related to the opening balance of deferred revenue (914,387) (836,800)
Ending Balance $ 1,791,434 $ 1,637,305