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Revenue Recognition - Summary of Significant Changes in Deferred Revenue (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Revenue From Contract With Customer [Abstract]    
Balance $ 276,737 $ 324,729
Amounts billed but not recognized 96,165 105,540
Revenue recognized (130,770) (153,532)
Foreign exchange impact on ending balance (3,498)  
Balance $ 238,634 $ 276,737