Employee Benefit Plans (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Dec. 02, 2023	Dec. 03, 2022	Dec. 02, 2023	Dec. 03, 2022
Defined Benefit Plan Disclosure
Weighted average expected long-term rate of return on plan assets (percent)	6.00%	6.00%	6.00%	6.00%
Domestic
Defined Benefit Plan Disclosure
Service cost	$ 0.0	$ 0.0	$ 0.0	$ 0.0
Interest cost	1.5	1.5	3.0	3.0
Expected return on plan assets	(2.3)	(2.0)	(4.6)	(4.0)
Expected administrative expenses	0.2	0.1	0.4	0.2
Net amortization loss	0.0	0.0	0.0	0.0
Net periodic benefit (income) cost	(0.6)	(0.4)	(1.2)	(0.8)
International
Defined Benefit Plan Disclosure
Service cost	0.0	0.0	0.0	0.0
Interest cost	1.0	0.8	2.0	1.6
Expected return on plan assets	(1.2)	(1.1)	(2.5)	(2.3)
Expected administrative expenses	0.0	0.0	0.0	0.0
Net amortization loss	0.0	0.6	0.0	1.2
Net periodic benefit (income) cost	$ (0.2)	$ 0.3	$ (0.5)	$ 0.5