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Stockholders' Equity (Narrative) (Details) - USD ($) $ / shares in Units, $ in Thousands		3 Months Ended	6 Months Ended
	Jan. 31, 2024	Mar. 31, 2025	Mar. 31, 2025	Mar. 31, 2024
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Total unrecognized compensation cost related to non-vested stock-based compensation arrangements		$ 40,139	$ 40,139
Forfeiture rate, Board of Directors		0.00%	0.00%
Forfeiture rate, non-Board of Directors		7.40%	7.40%
Unrecognized compensation cost is expected to be recognized over a weighted-average period			2 years
Stock Options [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Vested contractual term, in years			10 years
Vesting period, in years			4 years
Weighted-average exercise price		$ 193.09	$ 191.45
Stock Options [Member] \| Share-based Compensation Award Tranche One [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Vesting rate			25.00%
Restricted Stock Units (RSUs) [Member] \| Share-based Compensation Award Tranche One [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Vesting period, in years			4 years
Vesting rate			25.00%
Restricted Stock Units (RSUs) [Member] \| On or After November 14, 2023 [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Vesting period, in years			3 years
Vesting rate			33.30%
Performance Restricted Stock Units [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Award performance period (in years)			3 years
Performance based criteria plan payout percentage, target			100.00%
Discount for dividends			0.00%
Performance Restricted Stock Units [Member] \| Maximum [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Performance based criteria plan payout percentage			150.00%
Performance Restricted Stock Units [Member] \| Minimum [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Performance based criteria plan payout percentage			0.00%
2024 Authorization [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Stock repurchase program authorized amount	$ 600,000	$ 79,493	$ 79,493
Repurchase period in years	3 years
Stock repurchase program, number of shares authorized to be repurchased		449,000	449,000	0