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Fair Value of Financial Instruments Fair Value of Financial Instruments - Schedule of Contingent Consideration Reconciliation (Details) - Contingent Consideration [Member] - USD ($)
$ in Millions
12 Months Ended
Jun. 03, 2017
May 28, 2016
Fair Value, Liabilities Measured on Recurring Basis, Unobservable Input Reconciliation, Calculation [Roll Forward]    
Beginning balance $ 2.7 $ 2.6
Net realized gains (0.2) 0.0
Foreign currency translation adjustments 0.0 (0.1)
Settlements (2.0) (2.5)
Purchases or additions 0.0 2.7
Ending balance $ 0.5 $ 2.7