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Redeemable Noncontrolling Interests (Tables)
 3 Months Ended
Sep. 01, 2018
Redeemable Noncontrolling Interest, Equity, Fair Value [Abstract]  
Redeemable Noncontrolling Interest Changes in the company’s redeemable noncontrolling interests for the three months ended September 1, 2018 and September 2, 2017 are as follows:
(In millions)
September 1, 2018
 
September 2, 2017
Beginning Balance
$
30.5

 
$
24.6

Purchase of redeemable noncontrolling interests
(10.0
)
 
(1.0
)
Net income attributable to redeemable noncontrolling interests
0.1

 
—

Exercised options
0.2

 
—

Redemption value adjustment
—

 
(0.2
)
Other adjustments
(0.1
)
 
—

Ending Balance
$
20.7

 
$
23.4