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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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