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Revenue from Contracts with Customers - Contract Balances - Deferred Revenue (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Revenue from Contract with Customer [Abstract]      
Contract with Customer, Liability $ 160,209 $ 143,235 $ 126,560
Contract with Customer, Liability, Revenue Recognized (133,554) (113,341)  
Contract With Customer, Liability, Excluding Revenue Recognized 150,528 130,016  
Contract with Customer, Liability, Current 156,900 136,700  
Contract with Customer, Liability, Noncurrent $ 3,300 $ 6,500