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, 2022	Sep. 30, 2021	Sep. 30, 2020
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Weighted-average exercise price per share	$ 115.30	$ 82.46	$ 90.52
Minimum [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Expected term (years)	6 years 6 months	6 years 6 months	6 years 4 months 24 days
Estimated volatility	33.80%	33.30%	25.70%
Estimated dividend yield	0.60%	0.30%	0.40%
Risk-free interest rate	1.10%	0.40%	0.40%
Maximum [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Expected term (years)	8 years 8 months 12 days	8 years 8 months 12 days	8 years 8 months 12 days
Estimated volatility	36.40%	36.20%	35.10%
Estimated dividend yield	0.80%	0.60%	0.90%
Risk-free interest rate	3.50%	1.00%	1.70%