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Commitments and Contingencies (Tables)
9 Months Ended
Mar. 02, 2019
Commitments and Contingencies Disclosure [Abstract]  
Schedule of Product Warranty Liability
 
Three Months Ended
 
Nine Months Ended
(In millions)
March 2, 2019
 
March 3, 2018
 
March 2, 2019
 
March 3, 2018
Accrual Balance — beginning
$
52.4

 
$
53.3

 
$
51.5

 
$
47.7

Accrual for product-related matters
4.6

 
4.2

 
15.3

 
19.2

Settlements and adjustments
(4.5
)
 
(4.6
)
 
(14.3
)
 
(14.0
)
Accrual Balance — ending
$
52.5

 
$
52.9

 
$
52.5

 
$
52.9