Income Taxes - Effective Income Tax Rate Reconciliation (Details) - USD ($) $ in Millions	12 Months Ended
	May. 30, 2015	May. 31, 2014	Jun. 01, 2013
Income Tax Disclosure [Abstract]
Income taxes computed at the United States Statutory rate of 35%	$ 50.8	$ (15.2)	$ 34.0
Change in unrecognized tax benefits	0.0	0.4	0.1
Foreign statutory rate differences	(1.0)	(0.9)	(1.9)
Manufacturing deduction under the American Jobs Creation Act of 2004	4.8	3.9	4.0
State taxes	4.2	(0.9)	2.5
Effective Income Tax Rate Reconciliation, Nondeductible Expense, Amount	(0.9)	1.6	(2.1)
Tax on undistributed foreign earnings	(3.9)	0.0	(0.2)
Other, net	2.8	(2.3)	0.5
Income tax expense (benefit)	$ 47.2	$ (21.2)	$ 28.9
Effective tax rate	32.60%	48.90%	29.80%