Stockholders' Equity (Other Stock Option Information) (Details) - Stock Options [Member] - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Total fair value of stock options vested	$ 18,527	$ 24,388	$ 18,945
Total intrinsic value of options exercised	115,198	67,203	32,709
Cash received from exercises of stock options	89,875	50,749	21,897
Excess tax benefit realized from exercise of stock options	$ 17,939	$ 12,595	$ 6,472