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Stock-based Compensation - Additional Information (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended 6 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Mar. 31, 2022
Mar. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock-based compensation $ 37,921 $ 44,740 $ 83,863 $ 90,828
Employee Stock Purchase Plan        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Stock-based compensation $ 1,300 $ 1,800 $ 3,200 $ 3,800
TSR Units        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Weighted average fair value per share     $ 136.43