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Stock-Based Compensation (Stock-Based Compensation Expense) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2025
Sep. 30, 2024
Sep. 30, 2023
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Stock-based compensation before income taxes $ 15,363 $ 13,159 $ 13,286
Income tax benefit (3,292) (2,783) (2,840)
Stock-based compensation after income taxes 12,071 10,376 10,446
Cost of Sales      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Stock-based compensation before income taxes 794 698 628
Sales and Marketing      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Stock-based compensation before income taxes 5,276 4,617 4,107
Research and Development      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Stock-based compensation before income taxes 2,385 1,931 1,777
General and Administrative      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Stock-based compensation before income taxes $ 6,908 $ 5,913 $ 6,774