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Stock-Based Compensation - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Sep. 30, 2020
Sep. 30, 2019
Sep. 30, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based compensation expense $ 5.0 $ 5.9 $ 5.5
Tax benefit from compensation expense 1.2 1.5 1.7
Restricted stock      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based compensation, compensation cost not yet recognized $ 5.3    
Share-based compensation, compensation cost not yet recognized, recognition period 2 years 2 months 12 days    
Share-based compensation, fair value of vested awards $ 0.9 $ 1.9 $ 1.9