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Stock-Based Compensation (Stock-Based Compensation Expense) (Details) - USD ($) $ in Thousands | 3 Months Ended | 6 Months Ended
--- | --- | ---
Mar. 31, 2025 | Mar. 31, 2024 | Mar. 31, 2025 | Mar. 31, 2024
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Stock-based compensation before income taxes | $ 3,944 | $ 3,473 | $ 7,504 | $ 6,579
Income tax benefit | (840) | (751) | (1,601) | (1,414)
Stock-based compensation after income taxes | 3,104 | 2,722 | 5,903 | 5,165
Cost of Sales |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Stock-based compensation before income taxes | 202 | 175 | 389 | 356
Sales and Marketing |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Stock-based compensation before income taxes | 1,358 | 1,208 | 2,619 | 2,376
Research and Development |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Stock-based compensation before income taxes | 611 | 501 | 1,157 | 931
General and Administrative |  |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |  |
Stock-based compensation before income taxes | $ 1,773 | $ 1,589 | $ 3,339 | $ 2,916

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