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Fair Value of Financial Instruments Fair Value of Financial Instruments - Phantom (Details) - USD ($)
12 Months Ended
Jun. 02, 2018
Jun. 03, 2017
May 28, 2016
Derivative Instruments and Hedging Activities Disclosure [Abstract]      
Other Comprehensive Income (Loss), Cash Flow Hedge, Gain (Loss), Reclassification, after Tax $ (300,000) $ 0 $ 0
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