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Revenue from Contract with Customer - Narrative (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 03, 2023	May 28, 2022	May 29, 2021
Segment Reporting Information
Net sales	$ 4,087.1	$ 3,946.0	$ 2,465.1
Largest Single End-User | Sales Revenue, Net | Customer Concentration Risk
Segment Reporting Information
Net sales	$ 174.9	$ 114.4	$ 113.0
Concentration (percent)	4.00%	3.00%	5.00%
Company's Ten Largest Customers | Sales Revenue, Net | Customer Concentration Risk
Segment Reporting Information
Concentration (percent)	14.00%	11.00%	17.00%

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