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Stock-Based Compensation (Stock-Based Compensation Expense) (Details) - USD ($) $ in Thousands | 12 Months Ended
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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

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