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Employee Benefit Plans Employee Benefit Plans - Schedule of Pension Plans with Accumulated Benefit Obligations in Excess of Plan Assets (Details) - USD ($)
$ in Millions
Jun. 02, 2018
Jun. 03, 2017
Defined Benefit Plan, Plan with Accumulated Benefit Obligation in Excess of Plan Assets [Abstract]    
Defined Benefit Plan, Benefit Obligation $ 106.9 $ 114.8
Defined Benefit Plan, Accumulated Benefit Obligation 103.1 111.0
Defined Benefit Plan, Plan Assets, Amount $ 94.6 $ 80.5