Stockholders' Equity (Schedule of Reclassification Adjustments out of Accumulated Other Comprehensive Income) (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	May 27, 2018	Feb. 25, 2018	Nov. 26, 2017	Aug. 27, 2017	May 28, 2017	Feb. 26, 2017	Nov. 27, 2016	Aug. 28, 2016	May 27, 2018	May 28, 2017	May 29, 2016
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Less interest, net									$ (161.1)	$ (40.2)	$ (172.5)
Earnings before income taxes	$ 216.8	$ 116.0	$ 113.4	$ 159.5	$ 158.7	$ 220.2	$ 107.0	$ 151.4	605.7	637.3	449.7
Tax benefit									(1.9)	(154.8)	(90.0)
Net earnings	$ 174.5	$ 217.8	$ 84.7	$ 119.0	$ 123.8	$ 165.6	$ 79.5	$ 110.2	596.0	479.1	$ 375.0
Derivatives
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Net earnings									0.0	(1.4)
Derivatives | Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Earnings before income taxes									0.0	(1.4)
Tax benefit									0.0	0.0
Net earnings									0.0	(1.4)
Actuarial losses | Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Reclassification from accumulated other comprehensive income, current period, before tax									(2.8)	(3.3)
Settlement loss | Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Reclassification from accumulated other comprehensive income, current period, before tax									0.0	(19.9)
Benefit plan funding position
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Net earnings									0.1	(12.9)
Benefit plan funding position | Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Reclassification from accumulated other comprehensive income, current period, before tax									0.2	(20.9)
Reclassification from AOCI, current period, tax									(0.1)	8.0
Net earnings									0.1	(12.9)
Commodity contracts | Derivatives | Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Costs of goods and services sold									0.3	0.0
Equity contracts | Derivatives | Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
General and administrative expenses									(0.2)	(1.4)
Interest rate contracts | Derivatives | Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Less interest, net									(0.1)	0.0
Total - pension/postretirement plans | Benefit plan funding position | Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Reclassification from accumulated other comprehensive income, current period, before tax									(2.8)	(23.2)
Recognized net actuarial gain - other plans | Benefit plan funding position | Reclassification out of Accumulated Other Comprehensive Income
Reclassification Adjustment out of Accumulated Other Comprehensive Income [Line Items]
Reclassification from accumulated other comprehensive income, current period, before tax									$ 3.0	$ 2.3