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Revenue from Contracts with Customers - Capitalized Commission Cost (Details) - USD ($)
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Revenue from Contract with Customer [Abstract]      
Capitalized Contract Cost, Net $ 60,500,000 $ 58,600,000  
Capitalized Contract Cost, Amortization 9,200,000 8,200,000 $ 7,200,000
Capitalized Contract Cost, Impairment Loss $ 0 $ 0 $ 0