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Business Segment and Geographic Information (Schedule of operating segment results) (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Nov. 27, 2022
Nov. 28, 2021
Nov. 27, 2022
Nov. 28, 2021
Segment Reporting Information [Line Items]        
Net sales $ 5,220.7 $ 5,024.0 $ 9,938.3 $ 9,563.9
Operating profit 799.8 800.1 1,885.4 1,644.4
Divestitures gain, net 0.0 0.0 (430.9) 0.0
Restructuring, impairment, and other exit costs (recoveries) 11.1 2.3 12.7 (2.0)
Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 5,220.7 5,024.0 9,938.3 9,563.9
Operating profit 1,023.0 934.2 2,012.3 1,830.4
Unallocated Corporate Items [Member]        
Segment Reporting Information [Line Items]        
Operating profit 212.1 131.8 545.1 188.0
Significant Reconciling Items [Member]        
Segment Reporting Information [Line Items]        
Divestitures gain, net 0.0 0.0 (430.9) 0.0
Restructuring, impairment, and other exit costs (recoveries) 11.1 2.3 12.7 (2.0)
North America Retail [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 3,373.1 3,044.6 6,361.9 5,755.2
Operating profit 837.1 675.4 1,614.9 1,324.0
U.S. Meals & Baking [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 1,321.7 1,203.1 2,270.9 2,064.6
U.S. Morning Foods [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 908.5 826.7 1,812.5 1,656.4
U.S. Snacks [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 892.9 757.2 1,780.1 1,537.3
Canada [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 250.0 257.6 498.4 496.9
International [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 671.7 914.4 1,324.2 1,845.0
Operating profit 17.8 59.4 52.6 120.0
Pet [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 592.9 593.4 1,172.8 1,081.4
Operating profit 86.6 131.5 209.7 246.7
North America Foodservice [Member] | Operating Segments [Member]        
Segment Reporting Information [Line Items]        
Net sales 583.0 471.6 1,079.4 882.3
Operating profit $ 81.5 $ 67.9 $ 135.1 $ 139.7