Stockholders' Equity (Changes in Non-vested Stock Options) (Details) - Stock Options [Member] - $ / shares shares 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]
Number of Options, Beginning balance	1,393
Granted, Number of options	87
Vested, Number of options	(572)
Options forfeited, Number of options	(10)
Number of Options, Ending balance	898	1,393
Weighted-Average Grant Date Fair Value Per Share, Beginning balance	$ 33.96
Options granted, Weighted-Average Grant Date Fair Value Per Share	58.34	$ 34.19	$ 41.78
Options vested, Weighted-Average Grant Date Fair Value Per Share	32.36
Options forfeited, Weighted-Average Grant Date Fair Value Per Share	37.76
Weighted-Average Grant Date Fair Value Per Share, Ending balance	$ 37.3	$ 33.96