Restructuring, Impairment, and Other Exit Costs (Schedule of restructuring initiatives) (Details) - USD ($) $ in Millions	12 Months Ended
	May 28, 2017	May 29, 2016	May 31, 2015
Restructuring and Related Cost [Line Items]
Severance	$ 94.5	$ 67.6	$ 178.2
Asset Write-offs	62.5	31.9	55.3
Pension Related	2.2	20.5	37.8
Accelerated Depreciation	38.5	76.5	53.1
Other	26.4	33.3	19.1
Total restructuring charges	224.1	229.8	343.5
Global reorganization [Member]
Restructuring and Related Cost [Line Items]
Severance	66.3
Asset Write-offs	0.0
Pension Related	0.0
Accelerated Depreciation	0.0
Other	5.8
Total restructuring charges	72.1
Closure of Melbourne, Australia plant [Member]
Restructuring and Related Cost [Line Items]
Severance	11.4
Asset Write-offs	4.5
Pension Related	0.0
Accelerated Depreciation	5.6
Other	0.4
Total restructuring charges	21.9
Restructuring of certain international product lines [Member]
Restructuring and Related Cost [Line Items]
Severance	7.0
Asset Write-offs	37.0
Pension Related	0.0
Accelerated Depreciation Reversal	(0.3)
Other	1.4
Total restructuring charges	45.1
Closure of Vineland, New Jersey Plant [Member]
Restructuring and Related Cost [Line Items]
Severance	12.3
Asset Write-offs	7.9
Pension Related	1.5
Accelerated Depreciation	14.5
Other	5.2
Total restructuring charges	41.4
Project Compass [Member]
Restructuring and Related Cost [Line Items]
Severance		45.4
Severance Reversal	(1.5)
Asset Write-offs	0.1	0.0
Pension Related	0.0	1.4
Accelerated Depreciation	0.2	0.0
Other	0.8	7.9
Total restructuring charges		54.7
Restructuring charges reversal	(0.4)
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
Severance Reversal	(1.0)
Asset Write-offs	13.0	30.7	42.3
Pension Related	0.7	19.1	31.2
Accelerated Depreciation	18.5	76.5	53.1
Other	12.8	25.4	10.9
Total restructuring charges	$ 44.0	$ 182.6	181.8
Combination of certain operational facilities [Member]
Restructuring and Related Cost [Line Items]
Severance			13.0
Asset Write-offs			0.7
Pension Related			0.0
Accelerated Depreciation			0.0
Other			0.2
Total restructuring charges			13.9
Charges associated with restructuring actions previously announced [Member]
Restructuring and Related Cost [Line Items]
Severance Reversal			(0.6)
Asset Write-offs			0.0
Pension Related			0.0
Accelerated Depreciation			0.0
Other			0.0
Restructuring charges reversal			$ (0.6)