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Fair Value of Financial Instruments Fair Value of Financial Instruments - Phantom (Details) - USD ($)
12 Months Ended
Jun. 03, 2017
May 28, 2016
May 30, 2015
Derivative Instruments and Hedging Activities Disclosure [Abstract]      
Gain (Loss) on Cash Flow Hedge Ineffectiveness, Net $ 0 $ 0 $ 0
Other Comprehensive Income (Loss), Reclassification Adjustment from AOCI on Derivatives, Net of Tax $ 0 $ 0 $ 0