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OTHER (INCOME) EXPENSE, NET (Details) - USD ($)
$ in Millions
 12 Months Ended
May 25, 2022
Jun. 30, 2022
Jun. 30, 2021
Jun. 30, 2020
Other Income and Expenses [Abstract]        
Amortization of trademarks and other intangible assets   $ 31 $ 31 $ 13
Trust investment (gains) losses, net   21 (25) (3)
Net periodic benefit cost   16 15 10
Foreign exchange transaction (gains) losses, net   3 10 7
Income from equity investees   (6) (5) (20)
Interest income   (5) (5) (2)
Gain on previously held equity investment   0 (85) 0
Gain on sale-leaseback transaction $ (14) (14) 0 0
Indemnity settlement from past acquisition   0 0 (15)
Other   (9) (8) 0
Other (income) expense, net   $ 37 $ (72) $ (10)