Restructuring, Impairment, and Other Exit Costs (Schedule of restructuring initiatives) (Details) - USD ($) $ in Millions	12 Months Ended
	May 27, 2018	May 28, 2017	May 29, 2016
Restructuring and Related Cost [Line Items]
Severance (reversal)	$ 45.7	$ 94.5	$ 67.6
Asset write-offs (reversal)	10.1	62.5	31.9
Pension Related	0.0	2.2	20.5
Accelerated depreciation (reversal)	12.7	38.5	76.5
Other	14.2	26.4	33.3
Restructuring charges (reversal)	82.7	224.1	229.8
Global cost savings initiatives [Member]
Restructuring and Related Cost [Line Items]
Severance (reversal)	48.9
Asset write-offs (reversal)	0.0
Accelerated depreciation (reversal)	0.0
Other	0.4
Restructuring charges (reversal)	49.3
Global reorganization [Member]
Restructuring and Related Cost [Line Items]
Severance (reversal)	(3.0)	66.3
Asset write-offs (reversal)	0.6	0.0
Pension Related	0.0
Accelerated depreciation (reversal)	0.0	0.0
Other	0.2	5.8
Restructuring charges (reversal)	(2.2)	72.1
Closure of Melbourne, Australia plant [Member]
Restructuring and Related Cost [Line Items]
Severance (reversal)	0.7	11.4
Asset write-offs (reversal)	5.8	4.5
Pension Related	0.0
Accelerated depreciation (reversal)	2.1	5.6
Other	7.1	0.4
Restructuring charges (reversal)	15.7	21.9
Restructuring of certain international product lines [Member]
Restructuring and Related Cost [Line Items]
Severance (reversal)	(0.1)	7.0
Asset write-offs (reversal)	0.0	37.0
Pension Related	0.0
Accelerated depreciation (reversal)	0.0	(0.3)
Other	0.0	1.4
Restructuring charges (reversal)	(0.1)	45.1
Closure of Vineland, New Jersey Plant [Member]
Restructuring and Related Cost [Line Items]
Severance (reversal)	(1.6)	12.3
Asset write-offs (reversal)	0.6	7.9
Pension Related	0.0	1.5
Accelerated depreciation (reversal)	10.6	14.5
Other	3.2	5.2
Restructuring charges (reversal)	12.8	41.4
Project Compass [Member]
Restructuring and Related Cost [Line Items]
Severance (reversal)	0.4	(1.5)	45.4
Asset write-offs (reversal)	0.0	0.1	0.0
Pension Related	0.0	0.0	1.4
Accelerated depreciation (reversal)	0.0	0.2	0.0
Other	0.0	0.8	7.9
Restructuring charges (reversal)	0.4	(0.4)	54.7
Project Catalyst [Member]
Restructuring and Related Cost [Line Items]
Severance (reversal)		0.0	(8.7)
Asset write-offs (reversal)			1.2
Pension Related		0.0
Accelerated depreciation (reversal)			0.0
Other		0.0
Restructuring charges (reversal)		0.0	(7.5)
Project Century [Member]
Restructuring and Related Cost [Line Items]
Severance (reversal)	(0.3)	(1.0)	30.9
Asset write-offs (reversal)	4.8	13.0	30.7
Pension Related	0.0	0.7	19.1
Accelerated depreciation (reversal)	0.0	18.5	76.5
Other	3.3	12.8	25.4
Restructuring charges (reversal)	7.8	$ 44.0	$ 182.6
Combination of certain operational facilities [Member]
Restructuring and Related Cost [Line Items]
Severance (reversal)	0.7
Asset write-offs (reversal)	(1.7)
Accelerated depreciation (reversal)	0.0
Restructuring charges (reversal)	$ (1.0)