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Stockholders' Equity (Other Stock Option Information) (Details) - Stock Options [Member] - USD ($) $ in Thousands | 12 Months Ended
--- | ---
Sep. 30, 2025 | Sep. 30, 2024 | Sep. 30, 2023
Share Based Compensation Arrangement By Share Based Payment Award [Line Items] |  |  |
Total fair value of stock options vested | $ 16,006 | $ 18,527 | $ 24,388
Total intrinsic value of options exercised | 167,121 | 115,198 | 67,203
Cash received from exercises of stock options | 104,578 | 89,875 | 50,749
Excess tax benefit realized from exercise of stock options | $ 22,950 | $ 17,939 | $ 12,595

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