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Stock-Based Compensation - Additional Information (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Jun. 30, 2020
Jun. 30, 2019
Jun. 30, 2020
Jun. 30, 2019
Disclosure Of Compensation Related Costs Sharebased Payments [Abstract]        
Common stock reserved for issuance stock awards (in shares) 5,780,306   5,780,306  
Stock-based compensation expense $ 7.0 $ 7.3 $ 24.9 $ 23.2
Stock-based compensation expense, net of tax $ 6.1 $ 5.9 $ 21.8 $ 19.1