Stockholders' Equity (Schedule of Assumptions Used in Estimate of Fair Value of Stock Option Awards) (Details) - Stock Options [Member] - $ / shares	12 Months Ended
	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Weighted-average exercise price per share	$ 137.36	$ 84.84	$ 115.3
Minimum [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Expected term (years)	6 years 7 months 6 days	6 years 7 months 6 days	6 years 7 months 6 days
Estimated volatility	35.00%	34.70%	33.80%
Estimated dividend yield	0.70%	0.70%	0.60%
Risk-free interest rate	4.20%	3.40%	1.10%
Maximum [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Expected term (years)	8 years 8 months 12 days	8 years 9 months 18 days	8 years 8 months 12 days
Estimated volatility	37.60%	37.60%	36.40%
Estimated dividend yield	0.70%	0.90%	0.80%
Risk-free interest rate	4.40%	4.40%	3.50%