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Stock-Based Compensation (Stock-Based Compensation Expense) (Details) - USD ($)
$ in Thousands
3 Months Ended
Dec. 31, 2023
Dec. 31, 2022
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Stock-based compensation before income taxes $ 3,106 $ 2,868
Income tax benefit (663) (599)
Stock-based compensation after income taxes 2,443 2,269
Cost of Sales    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Stock-based compensation before income taxes 181 142
Sales and Marketing    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Stock-based compensation before income taxes 1,168 851
Research and Development    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Stock-based compensation before income taxes 430 448
General and Administrative    
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]    
Stock-based compensation before income taxes $ 1,327 $ 1,427