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Accumulated Other Comprehensive (Loss) Income (Reclassification from AOCI) (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Feb. 28, 2021
Feb. 29, 2020
Feb. 28, 2021
Feb. 29, 2020
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]        
Cost of revenue $ 6,258,621 $ 5,694,958 $ 13,456,590 $ 12,646,817
Interest expense 31,026 46,183 63,372 91,094
Income before income tax 208,538 29,077 493,945 131,717
Gain (loss) to be reclassified in next 12 months     4,700  
Reclassification out of AOCI | Realized losses (gain) on derivative instruments        
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]        
Income before income tax (21,534) (3,548) (37,085) 3,335
Reclassification out of AOCI | Realized losses (gain) on derivative instruments | Foreign exchange contracts        
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]        
Cost of revenue (22,344) (3,117) (38,712) 4,197
Reclassification out of AOCI | Realized losses (gain) on derivative instruments | Interest rate contracts        
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]        
Interest expense $ 810 $ (431) $ 1,627 $ (862)