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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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