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Employee Benefit Plans (Details) - USD ($)
12 Months Ended
May 30, 2020
Jun. 01, 2019
Jun. 02, 2018
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Expected Amortization of Gain (Loss), Next Fiscal Year $ 4,900,000    
Pension contributions $ 900,000 $ 900,000 $ 13,400,000
Defined Contribution Plan, Employer Matching Contribution, Percent of Match     100.00%
Defined Contribution Plan, Maximum Annual Contributions Per Employee, Percent 4.00%   3.00%
Defined Contribution Plan, Core Contribution per Employee, Percent 4.00%   1.00%
Cost recognized $ 22,200,000 25,400,000 $ 24,900,000
Deferred Profit Sharing      
Defined Benefit Plan Disclosure      
Defined Contribution Plan, Employer Discretionary Contribution Amount 0 0 $ 0
Pension Plan | International      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Accumulated Benefit Obligation $ 123,900,000 $ 105,400,000