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Stock-based Compensation - Additional Information (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended
Dec. 31, 2022
Dec. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Stock-based compensation $ 41,504 $ 45,942
Liability classified awards related to stock-based compensation 7,400  
Employee Stock Purchase Plan    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Stock-based compensation $ 1,900 $ 2,000
RTSR Units    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Weighted average fair value per share $ 179.60