Business Segment Information (Net Sales By Class Of Similar Products) (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	May 28, 2023	Feb. 26, 2023	Nov. 27, 2022	Aug. 28, 2022	May 29, 2022	Feb. 27, 2022	Nov. 28, 2021	Aug. 29, 2021	May 28, 2023	May 29, 2022	May 30, 2021
Product Information [Line Items]
Net sales	$ 5,030.0	$ 5,125.9	$ 5,220.7	$ 4,717.6	$ 4,891.2	$ 4,537.7	$ 5,024.0	$ 4,539.9	$ 20,094.2	$ 18,992.8	$ 18,127.0
Snacks [Member]
Product Information [Line Items]
Net sales									4,431.5	3,960.9	3,574.2
Convenient meals [Member]
Product Information [Line Items]
Net sales									2,961.6	2,988.5	3,030.2
Cereal [Member]
Product Information [Line Items]
Net sales									3,209.5	2,998.1	2,868.9
Yogurt [Member]
Product Information [Line Items]
Net sales									1,472.9	1,714.9	2,074.8
Dough [Member]
Product Information [Line Items]
Net sales									2,390.5	1,986.3	1,866.1
Pet [Member]
Product Information [Line Items]
Net sales									2,476.0	2,260.1	1,732.4
Baking mixes and ingredients [Member]
Product Information [Line Items]
Net sales									2,037.3	1,843.6	1,695.5
Super-premium ice cream [Member]
Product Information [Line Items]
Net sales									703.7	782.2	819.7
Other [Member]
Product Information [Line Items]
Net sales									$ 411.2	$ 458.2	$ 465.2