Accumulated Other Comprehensive Loss (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 03, 2017	May 28, 2016	May 30, 2015
Cumulative translation adjustments [Roll Forward]
Cumulative translation adjustments at beginning of period	$ (29.6)	$ (20.8)	$ (11.1)
Translation adjustments (net of tax of $ - , ($0.3) and $0.3)	(7.2)	(8.8)	(9.7)
Balance at end of period	(36.8)	(29.6)	(20.8)
Pension and other post-retirement benefit plans [Roll Forward]
Pension and other post-retirement benefit plans at beginning of period	(34.9)	(35.4)	(26.8)
Adjustments to pension and other post-retirement benefit plans (net of tax of $3.7, ($0.7) and $2.6)	(14.5)	(2.0)	(10.0)
Balance at end of period	(47.6)	(34.9)	(35.4)
Interest rate swap agreement [Roll Forward]
Interest rate swap agreement at beginning of period	0.0	0.0	0.0
Valuation adjustments (net of tax of ($1.2), $ - and $ -)	2.1	0.0	0.0
Balance at end of period	2.1	0.0	0.0
Available for sale securities [Roll Forward]
Available-for-sale Securities at beginning of period	0.0	0.0	0.0
Unrealized holding gain (net of tax of $ - , $ - and $ -)	0.1	0.0	0.0
Balance at end of period	0.1	0.0	0.0
Total accumulated other comprehensive loss	(82.2)	(64.5)	(56.2)
Operating Expense
Pension and other post-retirement benefit plans [Roll Forward]
Reclassification to earnings - operating expenses (net of tax of ($0.4), ($0.7) and ($0.4))	$ 1.8	$ 2.5	$ 1.4