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Derivative Financial Instruments and Hedging Activities (Foreign Currency Risk Management) (Details) - USD ($)
$ in Millions
12 Months Ended
Aug. 31, 2018
Aug. 31, 2017
Cost of revenue    
Derivative [Line Items]    
Foreign currency losses $ 29.6  
Forward foreign exchange contracts | Cost of revenue    
Derivative [Line Items]    
Gain recognized due to changes in fair value of derivatives 48.7  
Forward contracts | Cash flow hedging    
Derivative [Line Items]    
Aggregate notional amount 3,400.0 $ 2,100.0
Forward contracts | Forward foreign exchange contracts    
Derivative [Line Items]    
Aggregate notional amount $ 293.4 $ 314.6