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Significant Accounting and Reporting Policies - Research, Development and Other Related Costs (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 01, 2024
Jun. 03, 2023
May 28, 2022
Accounting Policies [Abstract]      
Design and research expense $ 62.0 $ 67.6 $ 71.1
Royalty expense $ 30.6 $ 38.1 $ 37.6