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Revenue from Contract with Customer - Narrative (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 01, 2024	Jun. 03, 2023	May 28, 2022
Segment Reporting Information
Net sales	$ 3,628.4	$ 4,087.1	$ 3,946.0
Largest Single End-User | Sales Revenue, Net | Customer Concentration Risk
Segment Reporting Information
Net sales	$ 180.3	$ 174.9	$ 114.4
Concentration (as percent)	5.00%	4.00%	3.00%
Company's Ten Largest Customers | Sales Revenue, Net | Customer Concentration Risk
Segment Reporting Information
Concentration (as percent)	16.00%	14.00%	11.00%

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