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Stockholders' Equity (Narrative) (Details) - USD ($) $ / shares in Units, $ in Thousands				12 Months Ended
	Nov. 20, 2025	Jan. 31, 2024	Jan. 31, 2022	Sep. 30, 2025	Sep. 30, 2024	Sep. 30, 2023	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				$ 32,896
Forfeiture rate, Board of Directors				0.00%
Forfeiture rate, non-Board of Directors				7.40%
Stock-based compensation expense, before tax				$ 31,674	$ 33,052	$ 23,958
Unrecognized compensation cost is expected to be recognized over a weighted-average period				1 year 6 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
2017 Plan [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Common Stock, Capital Shares Reserved for Future Issuance				5,031
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				$ 91.25	$ 86.03
Weighted-average exercise price				$ 191.45
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%
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
Repurchase period in years			2 years
Stock repurchase program, number of shares authorized to be repurchased						1,060,000
2024 Authorization [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Stock repurchase program authorized amount		$ 600,000		$ 170,083	$ 390,819
Repurchase period in years		3 years
Stock repurchase program, number of shares authorized to be repurchased				864,000	2,236,000
2025 Authorization [Member] \| Subsequent Event [Member]
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Stock repurchase program authorized amount	$ 600,000
New stock repurchase program authorized amount	$ 1,800,000
Repurchase period in years	3 years