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Stock-Based Compensation and Shares Repurchases - Narrative (Details) - USD ($)
3 Months Ended 9 Months Ended 11 Months Ended
Nov. 30, 2017
May 31, 2018
May 31, 2017
May 31, 2018
Jun. 28, 2018
Jul. 31, 2017
Schedule of Weighted Average Assumptions for Fair Values of Stock Options[Line Items]            
Stock-based compensation recognized for modification $ 24,900,000          
2017 Share Repurchase Program            
Schedule of Weighted Average Assumptions for Fair Values of Stock Options[Line Items]            
Share repurchase program, amount authorized (up to)           $ 450,000,000
Shares repurchased       11,500,000    
Shares repurchased, value   $ 316,200,000   $ 316,200,000    
Share repurchase program, remaining authorized repurchase amount   $ 133,800,000   $ 133,800,000    
Time-based restricted stock units            
Schedule of Weighted Average Assumptions for Fair Values of Stock Options[Line Items]            
Award vesting period   3 years        
Restricted stock units awarded (in shares)   1,400,000 1,800,000      
Performance-based restricted stock units            
Schedule of Weighted Average Assumptions for Fair Values of Stock Options[Line Items]            
Award vesting period   3 years        
Restricted stock units awarded (in shares)   400,000 600,000      
Performance-based restricted stock units | Maximum            
Schedule of Weighted Average Assumptions for Fair Values of Stock Options[Line Items]            
Award vesting percentage   150.00%        
Market based restricted stock units            
Schedule of Weighted Average Assumptions for Fair Values of Stock Options[Line Items]            
Award vesting period   3 years        
Award vesting percentage   200.00%        
Restricted stock units awarded (in shares)   400,000 400,000      
Restricted stock awards            
Schedule of Weighted Average Assumptions for Fair Values of Stock Options[Line Items]            
Awards vested (in shares) 800,000          
Plan 2011            
Schedule of Weighted Average Assumptions for Fair Values of Stock Options[Line Items]            
Shares available for issuance under share based compensation plan   12,777,424   12,777,424    
Subsequent Event | 2018 Share Repurchase Program            
Schedule of Weighted Average Assumptions for Fair Values of Stock Options[Line Items]            
Share repurchase program, amount authorized (up to)         $ 350,000,000