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Commitments and Contingencies (Tables)
 9 Months Ended
Mar. 03, 2018
Commitments and Contingencies Disclosure [Abstract]  
Schedule of Product Warranty Liability General warranty reserves are based on historical claims experience and other currently available information. These reserves are adjusted once an issue is identified and the actual cost of correction becomes known or can be estimated.
(In millions)
Three Months Ended
 
Nine Months Ended
 
March 3, 2018
 
March 4, 2017
 
March 3, 2018
 
March 4, 2017
Accrual Balance — beginning
$
53.3

 
$
44.6

 
$
47.7

 
$
43.9

Accrual for product-related matters
4.2

 
6.7

 
19.2

 
17.6

Settlements and adjustments
(4.6
)
 
(4.8
)
 
(14.0
)
 
(15.0
)
Accrual Balance — ending
$
52.9

 
$
46.5

 
$
52.9

 
$
46.5