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Redeemable Noncontrolling Interests (Tables)
 9 Months Ended
Mar. 03, 2018
Redeemable Noncontrolling Interests [Abstract]  
Redeemable Noncontrolling Interest Changes in the company’s redeemable noncontrolling interests for the nine months ended March 3, 2018 and March 4, 2017 are as follows:
(In millions)
March 3, 2018
 
March 4, 2017
Beginning Balance
$
24.6

 
$
27.0

Purchase of redeemable noncontrolling interests
(1.0
)
 
(1.5
)
Net income attributable to redeemable noncontrolling interests
0.2

 
0.1

Redemption value adjustment
0.5

 
(0.7
)
Other adjustments
—

 
0.1

Ending Balance
$
24.3

 
$
25.0