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Employee Benefit Plans (Details) - USD ($)
 3 Months Ended 12 Months Ended
Jun. 03, 2017
Jun. 02, 2018
Jun. 03, 2017
May 28, 2016
Defined Benefit Plan Disclosure        
Defined Benefit Plan, Accumulated Benefit Obligation $ 111,000,000 $ 103,100,000 $ 111,000,000  
Defined Benefit Plan, Expected Amortization of Gain (Loss), Next Fiscal Year   $ 2,900,000    
Defined Benefit Plan, Assumptions Used Calculating Benefit Obligation, Health Care Cost Trend Rate for Next Fiscal Year   7.10%    
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   7.50%    
Defined Benefit Plan, Ultimate Health Care Cost Trend Rate   4.30%    
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 1.00% 4.00%    
Cost recognized   $ 24,900,000 $ 22,800,000 $ 21,900,000
Deferred Profit Sharing [Member]        
Defined Benefit Plan Disclosure        
Defined Contribution Plan, Employer Discretionary Contribution Amount   0 6,000,000 10,900,000
Change in Assumptions for Pension Plans        
Defined Benefit Plan Disclosure        
Defined Benefit Plan, Interest Cost   300,000 400,000  
Domestic        
Defined Benefit Plan Disclosure        
Defined Benefit Plan, Accumulated Benefit Obligation   1,000,000    
Defined Benefit Plan, Interest Cost   (100,000) (100,000) 0
International        
Defined Benefit Plan Disclosure        
Defined Benefit Plan, Accumulated Benefit Obligation $ 110,000,000 102,200,000 110,000,000  
Defined Benefit Plan, Interest Cost   $ (2,700,000) $ (2,700,000) $ (3,800,000)