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Derivative Financial Instruments and Hedging Activities - Narrative (Details) - USD ($)
3 Months Ended
Nov. 30, 2018
Feb. 28, 2018
Nov. 30, 2017
Aug. 31, 2018
Aug. 31, 2016
Interest rate swaps | Cash flow hedging          
Derivative [Line Items]          
Aggregate notional amount $ 200,000,000       $ 350,000,000.0
Forward contracts          
Derivative [Line Items]          
Aggregate notional amount 3,800,000,000     $ 3,400,000,000  
Forward contracts | Forward foreign exchange contracts | Cash flow hedging          
Derivative [Line Items]          
Aggregate notional amount $ 451,300,000     293,400,000  
Term Loan Facility | Cash flow hedging          
Derivative [Line Items]          
Aggregate notional amount         200,000,000
Anticipated debt issuance | Cash flow hedging          
Derivative [Line Items]          
Aggregate notional amount         $ 200,000,000
Fair value of cash received for settlement of swaps   $ 17,200,000      
Senior Notes | 3.950% Senior Notes          
Derivative [Line Items]          
Senior Notes, stated interest rate 3.95%        
Cost of revenue          
Derivative [Line Items]          
Foreign currency gains (losses) $ 21,900,000      
Cost of revenue | Forward foreign exchange contracts          
Derivative [Line Items]          
Gain recognized due to changes in fair value of derivatives 38,600,000      
Term Loan Facility | Line of Credit | 2017 Term Loan Facility          
Derivative [Line Items]          
Maximum borrowing capacity $ 500,000,000        
Term Loan Facility | Line of Credit | 2018 Term Loan Facility          
Derivative [Line Items]          
Maximum borrowing capacity       $ 350,000,000