Business Segment Information (Schedule of financial information by geographic area) (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	May 30, 2021	Feb. 28, 2021	Nov. 29, 2020	Aug. 30, 2020	May 31, 2020	Feb. 23, 2020	Nov. 24, 2019	Aug. 25, 2019	May 30, 2021	May 31, 2020	May 26, 2019	May 27, 2018
Segment Reporting Information [Line Items]
Net sales	$ 4,523.6	$ 4,520.0	$ 4,719.4	$ 4,364.0	$ 5,023.0	$ 4,180.3	$ 4,420.8	$ 4,002.5	$ 18,127.0	$ 17,626.6	$ 16,865.2
Cash and cash equivalents	1,505.2				1,677.8				1,505.2	1,677.8	450.0	$ 399.0
Land, buildings, and equipment	3,606.8				3,580.6				3,606.8	3,580.6
United States [Member]
Segment Reporting Information [Line Items]
Net sales									13,496.9	13,364.5	12,462.8
Cash and cash equivalents	817.9				1,112.0				817.9	1,112.0
Land, buildings, and equipment	2,714.7				2,761.6				2,714.7	2,761.6
Non-United States [Member]
Segment Reporting Information [Line Items]
Net sales									4,630.1	4,262.1	$ 4,402.4
Cash and cash equivalents	687.3				565.8				687.3	565.8
Land, buildings, and equipment	$ 892.1				$ 819.0				$ 892.1	$ 819.0