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Accumulated Other Comprehensive Loss Accumulated Other Comprehensive Loss - Phantom (Details) - USD ($)
$ in Millions
 12 Months Ended
Jun. 03, 2017
May 28, 2016
May 30, 2015
Other Comprehensive Income (Loss), Foreign Currency Translation Adjustment, Tax $ 0.0 $ 0.3 $ 0.3
Other Comprehensive (Income) Loss, Pension and Other Postretirement Benefit Plans, Adjustment, before Reclassification Adjustments and Tax 3.7 (0.7) 2.6
Other Comprehensive Income (Loss), Derivatives Qualifying as Hedges, Tax 1.2 0.0 0.0
Other Comprehensive Income (Loss), Available-for-sale Securities, Tax 0.0 0.0 0.0
Operating Expense [Member]      
Other Comprehensive (Income) Loss, Reclassification Adjustment from AOCI, Pension and Other Postretirement Benefit Plans, Tax $ (0.4) $ (0.7) $ (0.4)