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Share Repurchases (Details) - USD ($)
shares in Millions, $ in Millions
3 Months Ended 12 Months Ended
Aug. 28, 2016
Aug. 30, 2015
May 29, 2016
Shares Repurchases [Abstract]      
Shares of common stock 5.6 2.7  
Aggregate purchase price $ 399.7 $ 152.1 $ 606.7