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Basis of Presentation and Summary of Significant Accounting Policies - Schedule of Accumulated Other Comprehensive Income (Loss) (Details) - USD ($) $ in Thousands | Mar. 31, 2023 | Sep. 30, 2022
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Organization, Consolidation and Presentation of Financial Statements [Abstract] |  |
Pension plan adjustments | $ (7,210) | $ (7,210)
Foreign currency translation adjustments | (168,395) | (213,388)
Cash flow hedges | 86,190 | 114,725
Share of equity investee's accumulated other comprehensive loss | (6,208) | (5,698)
Total accumulated other comprehensive loss | $ (95,623) | $ (111,571)

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