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Income Taxes (Details) - USD ($)
$ in Millions
 12 Months Ended
May 30, 2020
Jun. 01, 2019
Jun. 02, 2018
Tax Carryforward      
Income Tax Expense (Benefit), Continuing Operations, Adjustment of Deferred Tax (Asset) Liability   $ 1.0 $ 3.1
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate, Percent 21.00% 21.00% 29.10%
State and local tax net operating loss carryforwards and credits $ 2.5 $ 2.5  
Federal net operating loss carryforward 1.2 1.4  
Deferred Tax Assets, Gross 131.6 70.2  
Foreign tax net operating loss carryforwards and credits 8.4 9.1  
Deferred Tax Assets, Valuation Allowance 10.6 $ 10.4  
Foreign Cash Intended to be Repatriated 29.1    
Deferred Tax Liability, Foreign Withholding Taxes on Future Dividends 1.8    
Undistributed Earnings of Foreign Subsidiaries 221.5    
State And Local Jurisdiction      
Tax Carryforward      
Operating Loss Carryforwards 22.0    
State and local tax net operating loss carryforwards and credits 1.2    
State credits 1.3    
Operating Loss and Tax Credit Carryforwards, Valuation Allowance 1.6    
Internal Revenue Service (IRS)      
Tax Carryforward      
Operating Loss Carryforwards 5.9    
Federal net operating loss carryforward 1.2    
Foreign Tax Authority      
Tax Carryforward      
Operating Loss Carryforwards 37.7    
Operating Loss and Tax Credit Carryforwards, Valuation Allowance 7.7    
Foreign tax net operating loss carryforwards and credits 8.4    
Carryforward, Tax Deferred Expense, Reserves and Accruals, Other 4.2    
Deferred Tax Assets, Tax Deferred Expense, Reserves and Accruals, Other 0.8    
Deferred Tax Assets, Valuation Allowance $ 0.8    
Minimum | State And Local Jurisdiction      
Tax Carryforward      
Operating Loss Carryfoward, Expiration Period 1 year    
Tax Credit Carryforward, Expiration Period 2 years    
Minimum | Internal Revenue Service (IRS)      
Tax Carryforward      
Tax Credit Carryforward, Expiration Period 9 years    
Maximum | State And Local Jurisdiction      
Tax Carryforward      
Operating Loss Carryfoward, Expiration Period 21 years    
Tax Credit Carryforward, Expiration Period 6 years    
Internal Revenue Service (IRS)      
Tax Carryforward      
Deferred Tax Assets, Gross $ 2.3    
Deferred Tax Assets, Tax Deferred Expense 0.5    
Deferred Tax Assets, Valuation Allowance $ 0.5