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Revenue from Contracts with Customers - Contract Assets and Liabilities (Details) - USD ($)
$ in Thousands
3 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Change in Contract with Customer, Liability [Roll Forward]    
Beginning Balance $ 1,691,580 $ 1,489,842
Amounts added but not recognized as revenues 460,408 441,591
Deferred revenue acquired through acquisition of businesses 0 10,591
Revenues recognized related to the opening balance of deferred revenue (391,869) (365,525)
Ending Balance $ 1,760,119 $ 1,576,499