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Goodwill and Other Intangible Assets (Narrative) (Details) - USD ($)
$ in Thousands
12 Months Ended
Jun. 02, 2018
Jun. 03, 2017
May 28, 2016
Goodwill and Intangible Assets Disclosure [Abstract]      
Aggregate amortization expense for intangible assets $ 2,842 $ 2,209 $ 2,600