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Accumulated Other Comprehensive Loss (Tables)
 9 Months Ended
Mar. 03, 2018
Accumulated Other Comprehensive Income (Loss), Net of Tax [Abstract]  
Schedule of Accumulated Other Comprehensive Income (Loss) The following table provides an analysis of the changes in accumulated other comprehensive loss for the nine months ended March 3, 2018 and March 4, 2017:
(In millions)
Cumulative Translation Adjustments
 
Pension and Other Post-retirement Benefit Plans
 
Unrealized
Gains on Available-for-sale Securities
 
Interest Rate Swap Agreement
 
Accumulated Other Comprehensive Loss
Balance at May 28, 2016
$
(29.6
)
 
$
(34.9
)
 
$
—

 
$
—

 
$
(64.5
)
Other comprehensive income (loss) before reclassifications
(10.8
)
 
—

 
0.2

 
5.3

 
(5.3
)
Reclassification from accumulated other comprehensive loss - Selling, general and administrative
—

 
1.7

 
—

 
—

 
1.7

Tax benefit
—

 
0.4

 
—

 
—

 
0.4

Net reclassifications
—

 
2.1

 
—

 
—

 
2.1

Net current period other comprehensive income
(10.8
)
 
2.1

 
0.2

 
5.3

 
(3.2
)
Balance at March 2, 2017
$
(40.4
)
 
(32.8
)
 
$
0.2

 
$
5.3

 
$
(67.7
)
 
 
 
 
 
 
 
 
 
 
Balance at June 3, 2017
$
(36.8
)
 
$
(47.6
)
 
$
0.1

 
$
2.1

 
$
(82.2
)
Other comprehensive income before reclassifications
6.3

 
—

 
—

 
6.9

 
13.2

Reclassification from accumulated other comprehensive loss - Selling, general and administrative
—

 
3.2

 
—

 
—

 
3.2

Tax expense
—

 
(0.6
)
 
—

 
—

 
(0.6
)
Net reclassifications
—

 
2.6

 
—

 
—

 
2.6

Net current period other comprehensive income
6.3

 
2.6

 
—

 
6.9

 
15.8

Balance at March 3, 2018
$
(30.5
)
 
$
(45.0
)
 
$
0.1

 
$
9.0

 
$
(66.4
)