Revenue from Contracts with Customers - Revenue Disaggregated By Contract Type (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Dec. 02, 2023	Dec. 03, 2022	Dec. 02, 2023	Dec. 03, 2022
Disaggregation of Revenue [Line Items]
Net sales	$ 949.5	$ 1,066.9	$ 1,867.2	$ 2,145.7
Single performance obligation | Product revenue
Disaggregation of Revenue [Line Items]
Net sales	871.3	996.6	1,716.8	2,004.3
Multiple performance obligations | Product revenue
Disaggregation of Revenue [Line Items]
Net sales	74.9	66.3	143.6	132.8
Multiple performance obligations | Service revenue
Disaggregation of Revenue [Line Items]
Net sales	1.0	0.6	2.0	1.8
Other
Disaggregation of Revenue [Line Items]
Net sales	$ 2.3	$ 3.4	$ 4.8	$ 6.8