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Derivative Instruments - Pre-Tax Effect of Cash Flow Hedging Relationships (Details) - Cash flow hedging - Designated as hedging instrument - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Feb. 29, 2024
Feb. 28, 2023
Feb. 29, 2024
Feb. 28, 2023
Derivative Instruments and Hedging Activities Disclosures [Line Items]        
Gain (Loss) Recognized in AOCL on Derivatives $ (606) $ 633 $ (379) $ 7,384
Gain (Loss) Reclassified from AOCL into Income 999 3,666 3,468 1,598
Foreign currency forward contracts | SG&A        
Derivative Instruments and Hedging Activities Disclosures [Line Items]        
Gain (Loss) Recognized in AOCL on Derivatives (623) (215) (406) 3,108
Gain (Loss) Reclassified from AOCL into Income (47) (279) 318 (5,244)
Interest rate swap agreement | Interest expense        
Derivative Instruments and Hedging Activities Disclosures [Line Items]        
Gain (Loss) Recognized in AOCL on Derivatives 17 848 27 4,276
Gain (Loss) Reclassified from AOCL into Income $ 1,046 $ 3,945 $ 3,150 $ 6,842