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Stock-Based Compensation (Fair Value Assumptions) (Details) - Stock Options - $ / shares
6 Months Ended
Mar. 31, 2024
Mar. 31, 2023
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Weighted average per option grant date fair value $ 12.44 $ 19.92
Assumptions Used For Options Grants [Abstract]    
Risk free interest rate, minimum 4.45% 3.77%
Risk free interest rate, maximum 4.68% 3.98%
Expected term 6 years 6 years
Expected volatility rate 46.00%  
Weighted average volatility 46.00% 46.00%
Expected dividend yield 0.00% 0.00%
Minimum    
Assumptions Used For Options Grants [Abstract]    
Expected volatility rate   46.00%