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Derivative Financial Instruments - Gains (Losses) on Derivative Financial Instruments Recorded in Consolidated Statements of Income (Details) - USD ($) $ in Thousands | 12 Months Ended
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Sep. 30, 2025 | Sep. 30, 2024 | Sep. 30, 2023
Foreign Currency Forward Contracts |  |  |
Derivative [Line Items] |  |  |
Gain (loss) on foreign currency forward contracts | $ (425) | $ 1,580 | $ 1,625

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- Definition Aggregate net gain (loss) on all derivative instruments recognized in earnings during the period, before tax effects. + References Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef -Topic 815 -SubTopic 10 -Name Accounting Standards Codification -Section 50 -Paragraph 4A -Subparagraph (b)(1) -Publisher FASB -URI https://asc.fasb.org/1943274/2147480434/815-10-50-4A + Details
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