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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, 2018
Dec. 31, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Granted (in dollars per share) $ 30.49 $ 34.25
Fair value of restricted stock awards vested $ 27.1 $ 19.0
Proceeds from employees to satisfy tax obligation $ 14.2 $ 6.3