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Derivative Financial Instruments - Schedule of Notional Amounts of Outstanding Forward Contracts (Details) - Forward Contracts - Designated as Hedging Instrument - Net Investment Hedging - USD ($) $ in Thousands | Mar. 31, 2025 | Sep. 30, 2024
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Derivative [Line Items] |  |
Notional amount | $ 453,500 | $ 473,633
Euro / U.S. Dollar |  |
Derivative [Line Items] |  |
Notional amount | 443,398 | 462,894
Japanese Yen / U.S. Dollar |  |
Derivative [Line Items] |  |
Notional amount | $ 10,102 | $ 10,739

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