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Redeemable Noncontrolling Interests - USD ($)
$ in Millions
12 Months Ended
Jun. 02, 2018
Jun. 03, 2017
Redeemable Noncontrolling Interests [Roll Forward]    
Balance at beginning of period $ 24.6 $ 27.0
Purchase of redeemable noncontrolling interests (1.0) (1.5)
Net income attributable to redeemable noncontrolling interests 0.6 0.2
Exercised options 0.1 0.0
Redemption value adjustment 6.2 (1.2)
Other adjustments 0.0 0.1
Balance at end of period $ 30.5 $ 24.6