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Employee Benefit Plans (Details) - USD ($)
 12 Months Ended
Jun. 01, 2019
Jun. 02, 2018
Jun. 03, 2017
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Accumulated Benefit Obligation $ 106,400,000 $ 103,100,000  
Defined Benefit Plan, Expected Amortization of Gain (Loss), Next Fiscal Year $ 3,300,000    
Defined Benefit Plan, Assumptions Used Calculating Benefit Obligation, Health Care Cost Trend Rate for Next Fiscal Year 6.70%    
Defined Benefit Plan, Assumptions Used Calculating Benefit Obligation, Ultimate Trend Rate 0.043    
Defined Benefit Plan, Assumptions Used in Calculating Net Periodic Benefit Costs, Health Care Cost Trend Rate Assumed for Next Fiscal Year 7.10%    
Defined Benefit Plan, Ultimate Health Care Cost Trend Rate 4.30%    
Pension contributions $ 900,000 $ 13,400,000 $ 1,100,000
Deferred Compensation Arrangement with Individual, Cash Awards Granted, Maximum Percentage     6.00%
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 $ 25,400,000 $ 24,900,000 $ 22,800,000
Deferred Profit Sharing [Member]      
Defined Benefit Plan Disclosure      
Defined Contribution Plan, Employer Discretionary Contribution Amount 0   6,000,000
Domestic      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Accumulated Benefit Obligation   1,000,000  
International      
Defined Benefit Plan Disclosure      
Defined Benefit Plan, Accumulated Benefit Obligation $ 105,400,000 102,200,000  
Retrospective adjustment ASU 2017-07 [Domain] | International      
Defined Benefit Plan Disclosure      
Net Periodic Defined Benefits Expense (Reversal of Expense), Excluding Service Cost Component   $ 1,400,000 $ 300,000