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Share Repurchases (Details) - USD ($)
shares in Millions, $ in Millions
3 Months Ended 12 Months Ended
Aug. 26, 2018
Aug. 27, 2017
May 27, 2018
Shares Repurchases [Abstract]      
Shares of common stock purchased, shares 0.0 10.9  
Shares purchased, aggregate purchase price $ 0.2 $ 600.3 $ 601.6