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Revenue from Contracts with Customers - Narrative (Details) - USD ($)
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Revenue from Contract with Customer [Abstract]      
Capitalized Contract Cost, Amortization $ 38,513,000 $ 34,279,000 $ 32,607,000
Capitalized Contract Cost, Impairment Loss $ 0 $ 0 $ 0