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Employee Benefit Plans - Schedule of Effect of One-Percentage-Point Change in Assumed Health Care Cost Trend Rates (Details)
$ in Millions
12 Months Ended
Jun. 02, 2018
USD ($)
Retirement Benefits [Abstract]  
Effect on total fiscal 2017 service and interest cost components, 1 percent increase $ 0.0
Effect on total fiscal 2017 service and interest cost components, 1 percent decrease 0.0
Effect on post-retirement benefit obligation at June 3, 2017, 1 percent increase 0.1
Effect on post-retirement benefit obligation at June 3, 2017, 1 percent decrease $ 0.1