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Accumulated Other Comprehensive Loss (Tables)
 12 Months Ended
Jun. 01, 2019
Accumulated Other Comprehensive Income (Loss) [Abstract]  
Schedule of Accumulated Other Comprehensive Loss
The following table provides an analysis of the changes in accumulated other comprehensive loss for the years ended June 1, 2019, June 2, 2018 and June 3, 2017:
 
Year Ended
(In millions)
June 1, 2019
 
June 2, 2018
 
June 3, 2017
Cumulative translation adjustments at beginning of period
$
(34.1
)
 
$
(36.8
)
 
$
(29.6
)
Other comprehensive (loss) income before reclassifications
(14.2
)
 
2.7

 
(7.2
)
Balance at end of period
(48.3
)
 
(34.1
)
 
(36.8
)
 
 
 
 
 
 
Pension and other post-retirement benefit plans at beginning of period
(37.2
)
 
(47.6
)
 
(34.9
)
Other comprehensive (loss) income before reclassifications (net of tax of $2.0, ($2.9), and $3.7)
(10.0
)
 
5.3

 
(14.5
)
Reclassification from accumulated other comprehensive income - Other, net
2.6

 
4.2

 
2.2

Tax (expense) benefit
(0.4
)
 
0.9

 
(0.4
)
Net reclassifications
2.2

 
5.1

 
1.8

Net current period other comprehensive (loss) income
(7.8
)
 
10.4

 
(12.7
)
Balance at end of period
(45.0
)
 
(37.2
)
 
(47.6
)
 
 
 
 
 
 
Interest rate swap agreement at beginning of period
9.9

 
2.1

 
—

Cumulative effect of accounting change
1.5

 
—

 
—

Other comprehensive (loss) income before reclassifications (net of tax of $5.3, ($4.0), and ($1.2))
(12.8
)
 
7.5

 
2.1

Reclassification from accumulated other comprehensive income - Other, net
0.5

 
0.3

 
—

Net reclassifications
0.5

 
0.3

 
—

Net current period other comprehensive (loss) income
(12.3
)
 
7.8

 
2.1

Balance at end of period
(0.9
)
 
9.9

 
2.1

 
 
 
 
 
 
Unrealized Gains on Available-for-sale Securities at beginning of period
0.1

 
0.1

 
—

Cumulative effect of accounting change
(0.1
)
 
—

 
—

Other comprehensive income before reclassifications
—

 
—

 
0.1

Balance at end of period
—

 
0.1

 
0.1

 
 
 
 
 
 
Total Accumulated other comprehensive loss
$
(94.2
)
 
$
(61.3
)
 
$
(82.2
)