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Acquisitions (Assets Acquired and Liabilities Assumed) (Details) - USD ($) $ in Thousands		12 Months Ended
	Nov. 01, 2021	Sep. 30, 2024	Sep. 30, 2023	Sep. 30, 2022
Business Acquisition [Line Items]
Cash		$ 0	$ 0	$ 347,554
Goodwill		$ 342,774	$ 341,593	$ 340,477
Ventus
Business Acquisition [Line Items]
Cash	$ 350,000
Cash	350,000
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net Tangible Assets Acquired (Liabilities) Assumed	20,365
Goodwill	118,635
Total assets acquired and liabilities assumed	350,000
Customer Relationships | Ventus
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	179,000
Trademarks | Ventus
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	16,000
Purchased and Core Technology | Ventus
Business Acquisition [Line Items]
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill	$ 16,000

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