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Summary of Significant Accounting Policies - Software Development and Cloud Computing Arrangement Implementation Costs (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Finite-Lived Intangible Assets [Line Items]      
Intangible asset estimated useful lives (in years) 10 years    
Intangible asset non-current $ 205,391 $ 212,324 $ 306,471
Selling, general and administrative expenses $ 332,680 345,524 $ 302,113
Domain Names & Internally Developed Software | Minimum      
Finite-Lived Intangible Assets [Line Items]      
Intangible asset estimated useful lives (in years) 3 years    
Domain Names & Internally Developed Software | Maximum      
Finite-Lived Intangible Assets [Line Items]      
Intangible asset estimated useful lives (in years) 5 years    
Cloud Computing Arrangements      
Finite-Lived Intangible Assets [Line Items]      
Expected amortization recognition period 1 year    
Selling, general and administrative expenses $ 300 100  
Intangible Assets, Gross (Excluding Goodwill) 1,700 5,400  
Finite-Lived Intangible Assets, Accumulated Amortization $ 400 $ 100