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Stock-Based Compensation (Fair Value Assumptions) (Details) - Stock Options - $ / shares
6 Months Ended
Mar. 31, 2022
Mar. 31, 2021
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Weighted average per option grant date fair value $ 10.23 $ 7.42
Assumptions Used For Options Grants [Abstract]    
Risk free interest rate, minimum 1.25% 0.51%
Risk free interest rate, maximum 1.82% 0.66%
Expected term 6 years 6 years
Weighted average volatility 46.00% 44.00%
Expected dividend yield 0.00% 0.00%
Minimum    
Assumptions Used For Options Grants [Abstract]    
Expected volatility rate 45.00% 44.00%
Maximum    
Assumptions Used For Options Grants [Abstract]    
Expected volatility rate 46.00% 45.00%