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Stock-based Compensation - Additional Information (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended
Dec. 31, 2021
Dec. 31, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Stock-based compensation $ 45,942 $ 46,088
Employee Stock Purchase Plan    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Stock-based compensation $ 2,000 $ 1,900
TSR Units    
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Weighted average fair value per share $ 136.43