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Stock-Based Compensation - Narrative (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended 12 Months Ended
Jun. 30, 2020
Jun. 30, 2019
Jun. 30, 2020
Jun. 30, 2019
Sep. 30, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Share-based compensation expense $ 1.1 $ 1.4 $ 4.0 $ 4.5  
Tax benefit from compensation expense 0.3 $ 0.4 1.0 $ 1.1  
Share-based compensation, compensation cost not yet recognized $ 6.5   $ 6.5    
Share-based compensation, compensation cost not yet recognized, recognition period     2 years 4 months 24 days    
Restricted Shares          
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]          
Fair value of vested stock awards     $ 0.9   $ 1.9