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Business Segment and Geographic Information (Schedule of net sales by class of similar products) (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Nov. 27, 2022	Nov. 28, 2021	Nov. 27, 2022	Nov. 28, 2021
Product Information [Line Items]
Net sales	$ 5,220.7	$ 5,024.0	$ 9,938.3	$ 9,563.9
Snacks [Member]
Product Information [Line Items]
Net sales	1,102.8	947.6	2,171.2	1,902.1
Cereal [Member]
Product Information [Line Items]
Net sales	810.9	742.2	1,625.6	1,473.2
Convenient meals [Member]
Product Information [Line Items]
Net sales	786.4	789.8	1,465.6	1,485.3
Dough [Member]
Product Information [Line Items]
Net sales	745.6	607.0	1,210.4	1,012.2
Pet [Member]
Product Information [Line Items]
Net sales	593.7	593.4	1,174.5	1,081.4
Baking mixes and ingredients [Member]
Product Information [Line Items]
Net sales	563.7	517.2	1,037.2	913.5
Yogurt [Member]
Product Information [Line Items]
Net sales	357.5	507.1	703.5	1,013.0
Super-premium ice cream [Member]
Product Information [Line Items]
Net sales	164.9	200.0	348.4	444.8
Other [Member]
Product Information [Line Items]
Net sales	$ 95.2	$ 119.7	$ 201.9	$ 238.4

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