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Business Segment and Geographic Information (Schedule of operating segment results) (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Feb. 27, 2022
Feb. 28, 2021
Feb. 27, 2022
Feb. 28, 2021
Segment Reporting Information [Line Items]        
Net sales $ 4,537.7 $ 4,520.0 $ 14,101.6 $ 13,603.4
Operating profit 815.3 826.6 2,459.7 2,596.9
Divestitures gain (170.1) 0.0 (170.1) 0.0
Restructuring, impairment, and other exit costs 7.1 11.0 5.1 11.9
Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 4,537.7 4,520.0 14,101.6 13,603.4
Operating profit 793.2 813.1 2,623.6 2,707.1
Unallocated Corporate Items [Member]        
Segment Reporting Information [Line Items]        
Operating profit 140.9 (24.5) 328.9 98.3
North America Retail [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 2,811.9 2,786.0 8,567.1 8,539.3
Operating profit 611.5 628.8 1,935.5 2,076.8
U.S. Meals & Baking [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 968.0 990.7 3,032.6 3,169.0
U.S. Morning Foods [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 858.0 823.2 2,514.4 2,495.8
U.S. Snacks [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 745.0 726.8 2,282.3 2,172.0
Canada [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 240.9 245.3 737.8 702.5
International [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 721.0 939.8 2,566.0 2,710.9
Operating profit 35.9 41.4 155.9 180.8
Pet [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 567.7 436.3 1,649.1 1,288.0
Operating profit 110.6 102.3 357.3 311.9
North America Foodservice [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 437.1 357.9 1,319.4 1,065.2
Operating profit $ 35.2 $ 40.6 $ 174.9 $ 137.6