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Stockholders' Equity (Narrative) (Details) - USD ($) $ / shares in Units, $ in Thousands				1 Months Ended	12 Months Ended
	Jan. 31, 2024	Nov. 01, 2023	Jan. 31, 2022	Nov. 30, 2019	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022	Jan. 22, 2022
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Total unrecognized compensation cost related to non-vested stock-based compensation arrangements					$ 26,694
Forfeiture rate, Board of Directors					0.00%
Forfeiture rate, non-Board of Directors					7.40%
Stock-based compensation expense, before tax					$ 33,052	$ 23,958	$ 20,109
Unrecognized compensation cost is expected to be recognized over a weighted-average period					1 year 9 months 14 days
Executive Separation and Release Agreement [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Stock-based compensation expense, before tax					$ 1,682	$ 1,265
Restricted Stock Units (RSUs) [Member] \| RSU Agreement prior to November 14, 2023 [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] \| RSUs Granted 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%
Stock Options [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Vesting period, in years					4 years
Vested contractual term, in years					10 years
Exercise prices of stock options outstanding					$ 86.03	$ 80.48
Weighted-average exercise price					$ 137.36
Stock Options [Member] \| RSU Agreement prior to November 14, 2023 [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Vesting rate					25.00%
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%
2019 Authorization [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Stock repurchase program authorized amount							$ 26,742
Repurchase period in years				3 years
Stock repurchase program, number of shares authorized to be repurchased							233,000
2019 Authorization [Member] \| Maximum [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Stock repurchase program authorized amount				$ 500,000
2022 Authorization [Member] \| Maximum [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Stock repurchase program authorized amount								$ 800,000
2022 Authorization [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Stock repurchase program authorized amount						$ 126,380	$ 446,042
Repurchase period in years			2 years
Stock repurchase program, number of shares authorized to be repurchased						1,060,000	3,890,000
2024 Authorization [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Stock repurchase program authorized amount	$ 600,000				$ 390,819
Repurchase period in years	3 years
Stock repurchase program, number of shares authorized to be repurchased					2,236,000