Restructuring, Impairment, and Other Exit Costs (Schedule of restructuring initiatives) (Details) - USD ($) $ in Millions	12 Months Ended
	May 29, 2016	May 31, 2015	May 25, 2014
Restructuring and Related Cost [Line Items]
Severance	$ 67.6	$ 178.2
Asset Write-offs	31.9	55.3
Pension Related	20.5	37.8
Accelerated Depreciation	76.5	53.1
Other	33.3	19.1
Total restructuring charges	229.8	343.5	$ 3.6
Project Compass [Member]
Restructuring and Related Cost [Line Items]
Severance	45.4	0.0
Asset Write-offs	0.0	0.0
Pension Related	1.4	0.0
Accelerated Depreciation	0.0	0.0
Other	7.9	0.0
Total restructuring charges	54.7	0.0
Project Catalyst [Member]
Restructuring and Related Cost [Line Items]
Severance		121.5
Severance Reversal	(8.7)
Asset Write-offs	1.2	12.3
Pension Related	0.0	6.6
Accelerated Depreciation	0.0	0.0
Other	0.0	8.0
Total restructuring charges		148.4
Restructuring charges reversal	(7.5)
Project Century [Member]
Restructuring and Related Cost [Line Items]
Severance	30.9	44.3
Asset Write-offs	30.7	42.3
Pension Related	19.1	31.2
Accelerated Depreciation	76.5	53.1
Other	25.4	10.9
Total restructuring charges	182.6	181.8
Combination of Certain Operational Facilities [Member]
Restructuring and Related Cost [Line Items]
Severance	0.0	13.0
Asset Write-offs	0.0	0.7
Pension Related	0.0	0.0
Accelerated Depreciation	0.0	0.0
Other	0.0	0.2
Total restructuring charges	0.0	13.9
Charges Associated with Restructuring Actions Previously Announced [Member]
Restructuring and Related Cost [Line Items]
Severance	0.0
Severance Reversal		(0.6)
Asset Write-offs	0.0	0.0
Pension Related	0.0	0.0
Accelerated Depreciation	0.0	0.0
Other	0.0	0.0
Total restructuring charges	$ 0.0		$ 3.6
Restructuring charges reversal		$ (0.6)