Stockholders' Equity (Other Stock Option Information) (Details) - Stock Options [Member] - USD ($) $ in Thousands	12 Months Ended
	Sep. 30, 2023	Sep. 30, 2022	Sep. 30, 2021
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Total fair value of stock options vested	$ 24,388	$ 18,945	$ 19,324
Total intrinsic value of options exercised	67,203	32,709	63,667
Cash received from exercises of stock options	50,749	21,897	34,748
Excess tax benefit realized from exercise of stock options	$ 12,595	$ 6,472	$ 12,364