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Stock-Based Compensation (Stock-Based Compensation Expense) (Details) - USD ($) $ in Thousands | 12 Months Ended
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Sep. 30, 2019 | Sep. 30, 2018 | Sep. 30, 2017
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Stock-based compensation before income taxes | $ 5,655 | $ 4,854 | $ 4,659
Income tax benefit | (1,174) | (1,017) | (1,536)
Stock-based compensation after income taxes | 4,481 | 3,837 | 3,123
Cost of Sales |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Stock-based compensation before income taxes | 174 | 195 | 213
Sales and Marketing |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Stock-based compensation before income taxes | 1,708 | 1,492 | 1,348
Research and Development |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Stock-based compensation before income taxes | 996 | 516 | 656
General and Administrative |  |  |
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items] |  |  |
Stock-based compensation before income taxes | $ 2,777 | $ 2,651 | $ 2,442

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