Pension Plans (Allocation of Plan Assets) (Details)	12 Months Ended
	Jun. 02, 2015	Jun. 03, 2014
Plan Asset Allocations
Target	100.00%
Actual Allocations	100.00%	100.00%
Equity [Member]
Plan Asset Allocations
Target	70.00%
Actual Allocations	71.00%	69.00%
Fixed Income [Member]
Plan Asset Allocations
Target	25.00%
Actual Allocations	28.00%	30.00%
Cash Equivalents [Member]
Plan Asset Allocations
Target	5.00%
Actual Allocations	1.00%	1.00%