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Revenue from Contracts with Customers - Contract Assets and Liabilities (Details) - USD ($)
$ in Thousands
3 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Change in Contract with Customer, Liability [Roll Forward]    
Beginning Balance $ 1,489,842 $ 1,272,632
Amounts added but not recognized as revenues 441,591 421,918
Deferred revenue acquired through acquisition of businesses 10,591 0
Revenues recognized related to the opening balance of deferred revenue (365,525) (335,725)
Ending Balance $ 1,576,499 $ 1,358,825