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Stock-Based Compensation - Restricted Stock Unit Activity - Additional Information (Details) - Restricted Stock Units (RSUs) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Granted (in dollars per share) $ 47.01 $ 30.49
Fair value of restricted stock awards vested $ 38.5 $ 27.1
Proceeds from employees to satisfy tax obligation $ 24.0 $ 14.2