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Significant Accounting and Reporting Policies Research, Development and Other Related Costs (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 01, 2019
Jun. 02, 2018
Jun. 03, 2017
Research, Development and Other Related Costs [Abstract]      
Research and Development Expense $ 58.8 $ 57.1 $ 58.6
Royalty Expense $ 18.1 $ 16.0 $ 14.5