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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
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)