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Redeemable Noncontrolling Interests - USD ($)
$ in Millions
 12 Months Ended
Jun. 03, 2017
May 28, 2016
Redeemable Noncontrolling Interests [Roll Forward]    
Balance at beginning of period $ 27.0 $ 30.4
Purchase of redeemable noncontrolling interests (1.5) 0.0
Net income attributable to redeemable noncontrolling interests 0.2 0.5
Redemption value adjustment (1.2) (4.0)
Other adjustments 0.1 0.1
Balance at end of period $ 24.6 $ 27.0