Retirement and Postemployment Benefits (Schedule of Components of net periodic benefit (income) expense) (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Nov. 27, 2022	Nov. 28, 2021	Nov. 27, 2022	Nov. 28, 2021
Defined Benefit Pension Plans [Member]
Defined Benefit Plan Disclosure [Line Items]
Service cost	$ 17.5	$ 23.5	$ 35.1	$ 47.2
Interest cost	64.6	46.1	129.2	92.4
Expected return on plan assets	(105.0)	(102.9)	(210.0)	(205.7)
Amortization of losses (gains)	28.4	35.5	56.7	70.4
Amortization of prior service costs (credits)	0.3	0.2	0.7	0.4
Other adjustments	0.0	0.0	0.0	0.0
Curtailment (loss) gain	0.0	0.5	0.0	(14.3)
Net expense (income)	5.8	2.9	11.7	(9.6)
Other Postretirement Benefit Plans [Member]
Defined Benefit Plan Disclosure [Line Items]
Service cost	1.2	1.9	2.6	3.8
Interest cost	4.5	3.1	9.0	6.3
Expected return on plan assets	(7.8)	(6.7)	(15.6)	(13.4)
Amortization of losses (gains)	(4.8)	(2.7)	(9.7)	(5.4)
Amortization of prior service costs (credits)	(5.7)	(5.2)	(11.5)	(10.4)
Other adjustments	0.0	0.0	0.0	0.0
Curtailment (loss) gain	0.0	(0.2)	0.0	(5.7)
Net expense (income)	(12.6)	(9.8)	(25.2)	(24.8)
Postemployment Benefit Plans [Member]
Defined Benefit Plan Disclosure [Line Items]
Service cost	2.1	1.7	4.2	3.5
Interest cost	0.8	0.3	1.6	0.7
Expected return on plan assets	0.0	0.0	0.0	0.0
Amortization of losses (gains)	0.0	0.7	0.1	1.5
Amortization of prior service costs (credits)	0.1	0.1	0.2	0.2
Other adjustments	2.9	3.8	5.9	5.7
Curtailment (loss) gain	0.0	0.0	0.0	0.0
Net expense (income)	$ 5.9	$ 6.6	$ 12.0	$ 11.6