Business Segment Information (Schedule of financial information by geographic area) (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	May 31, 2015
Segment Reporting Information [Line Items]
Net sales	$ 3,890.2	$ 3,882.3	$ 4,198.7	$ 3,769.2	$ 3,806.6	$ 3,793.2	$ 4,112.1	$ 3,907.9	$ 15,740.4	$ 15,619.8	$ 16,563.1
Cash and cash equivalents	399.0				766.1				399.0	766.1	763.7	$ 334.2
Land, buildings, and equipment	4,047.2				3,687.7				4,047.2	3,687.7
United States [Member]
Segment Reporting Information [Line Items]
Net sales									11,115.6	11,160.9	11,930.9
Cash and cash equivalents	15.7				62.9				15.7	62.9
Land, buildings, and equipment	3,031.7				2,704.0				3,031.7	2,704.0
Non-United States [Member]
Segment Reporting Information [Line Items]
Net sales									4,624.8	4,458.9	$ 4,632.2
Cash and cash equivalents	383.3				703.2				383.3	703.2
Land, buildings, and equipment	$ 1,015.5				$ 983.7				$ 1,015.5	$ 983.7