Restructuring Initiatives (Schedule of restructuring charges) (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Feb. 26, 2017	Feb. 28, 2016	Feb. 26, 2017	Feb. 28, 2016
Restructuring and Related Cost [Line Items]
Severance	$ 66.3		$ 96.8	$ 73.0
Severance reversal		$ (2.4)
Asset write-offs	3.7	10.4	52.6	22.9
Accelerated depreciation	16.1	17.0	40.3	59.6
Other	7.9	9.2	18.6	43.7
Total restructuring charges	94.0	34.2	208.3	199.2
Global reorganization [Member]
Restructuring and Related Cost [Line Items]
Severance	67.4	0.0	67.4	0.0
Asset write-offs	0.0	0.0	0.0	0.0
Accelerated depreciation	0.0	0.0	0.0	0.0
Other	5.7	0.0	5.7	0.0
Total restructuring charges	73.1	0.0	73.1	0.0
Closure of Melbourne, Australia plant [Member]
Restructuring and Related Cost [Line Items]
Severance	0.0	0.0	11.3	0.0
Asset write-offs	0.0	0.0	0.0	0.0
Accelerated depreciation	5.6	0.0	6.3	0.0
Other	0.1	0.0	0.1	0.0
Total restructuring charges	5.7	0.0	17.7	0.0
Restructuring of certain international product lines [Member]
Restructuring and Related Cost [Line Items]
Severance	0.6	0.0	7.0	0.0
Asset write-offs	1.6	0.0	37.4	0.0
Accelerated depreciation	0.0	0.0		0.0
Accelerated depreciation reversal			(0.3)
Other	0.1	0.0	1.5	0.0
Total restructuring charges	2.3	0.0	45.6	0.0
Closure of Vineland, New Jersey Plant [Member]
Restructuring and Related Cost [Line Items]
Severance	0.0	0.0	12.3	0.0
Asset write-offs	0.4	0.0	5.4	0.0
Accelerated depreciation	7.1	0.0	16.1	0.0
Other	0.2	0.0	1.8	0.0
Total restructuring charges	7.7	0.0	35.6	0.0
Project Compass [Member]
Restructuring and Related Cost [Line Items]
Severance				46.2
Severance reversal	(1.4)	(0.9)	(1.4)
Asset write-offs	0.0	0.0	0.0	0.0
Accelerated depreciation	0.0	0.0	0.2	0.0
Other	0.0	0.1	0.8	6.6
Total restructuring charges				52.8
Restructuring charges reversal	(1.4)	(0.8)	(0.4)
Project Century [Member]
Restructuring and Related Cost [Line Items]
Severance	0.2	7.4	0.7	35.5
Asset write-offs	1.7	10.4	9.8	22.9
Accelerated depreciation	3.4	17.0	18.0	59.6
Other	1.8	9.1	8.7	37.1
Total restructuring charges	7.1	43.9	37.2	155.1
Project Catalyst [Member]
Restructuring and Related Cost [Line Items]
Severance	0.0		0.0
Severance reversal		(8.9)		(8.7)
Asset write-offs	0.0	0.0	0.0	0.0
Accelerated depreciation	0.0	0.0	0.0	0.0
Other	0.0	0.0	0.0	0.0
Total restructuring charges	0.0		0.0
Restructuring charges reversal		(8.9)		(8.7)
Combination of certain operational facilities [Member]
Restructuring and Related Cost [Line Items]
Severance		0.0		0.0
Severance reversal	(0.5)		(0.5)
Asset write-offs	0.0	0.0	0.0	0.0
Accelerated depreciation	0.0	0.0	0.0	0.0
Other	0.0	0.0	0.0	0.0
Total restructuring charges		$ 0.0		$ 0.0
Restructuring charges reversal	$ (0.5)		$ (0.5)