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Stock-Based Compensation (Fair Value Assumptions) (Details) - Stock Options - $ / shares
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Weighted average per option grant date fair value $ 6.97 $ 6.17 $ 4.48
Assumptions Used For Options Grants [Abstract]      
Risk free interest rate, minimum 0.51% 0.37% 1.60%
Risk free interest rate, maximum 1.035% 1.73% 2.93%
Expected term 6 years 6 years 6 years
Expected volatility rate, minimum 44.00% 36.00% 33.00%
Expected volatility rate, maximum 46.00% 44.00% 35.00%
Weighted average volatility 45.00% 36.00% 34.00%
Expected dividend yield 0.00% 0.00% 0.00%