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Stock-Based Compensation (Fair Value Assumptions) (Details) - Stock Options - $ / shares
9 Months Ended
Jun. 30, 2023
Jun. 30, 2022
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]    
Weighted average per option grant date fair value $ 19.88 $ 10.03
Assumptions Used For Options Grants [Abstract]    
Risk free interest rate, minimum 3.50% 1.25%
Risk free interest rate, maximum 3.98% 3.00%
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   45.00%
Maximum    
Assumptions Used For Options Grants [Abstract]    
Expected volatility rate   46.00%