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Income Taxes (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 03, 2023
May 28, 2022
Tax Carryforward    
Effective tax rate (percent) 21.00%  
State and local tax net operating loss carryforwards and credits $ 4.7 $ 7.2
Federal net operating loss carryforward 5.2 3.6
Deferred tax assets 231.2 213.1
Deferred tax asset valuation allowance 12.7 11.7
Foreign tax net operating loss carryforwards and credits 14.2 $ 15.9
Foreign cash intended to be repatriated 169.4  
Undistributed earnings of foreign subsidiaries 5.8  
State And Local Jurisdiction    
Tax Carryforward    
Operating loss carryforwards 67.7  
State and local tax net operating loss carryforwards and credits 4.1  
State credits 0.6  
Valuation allowance 0.7  
Internal Revenue Service (IRS)    
Tax Carryforward    
Operating loss carryforwards 24.6  
Federal net operating loss carryforward 5.2  
Foreign Tax Authority    
Tax Carryforward    
Operating loss carryforwards 52.6  
State credits 0.7  
Valuation allowance 11.0  
Deferred tax asset valuation allowance 0.7  
Foreign tax net operating loss carryforwards and credits 13.5  
Foreign deferred assets 2.6  
Foreign deferred assets tax benefit 0.7  
Undistributed earnings of foreign subsidiaries $ 282.2  
Minimum | State And Local Jurisdiction    
Tax Carryforward    
State and local tax net operating loss carryforwards expiration period 1 year  
State tax benefits expiration period 2 years  
Minimum | Internal Revenue Service (IRS)    
Tax Carryforward    
State and local tax net operating loss carryforwards expiration period 6 years  
Minimum | Foreign Tax Authority    
Tax Carryforward    
State and local tax net operating loss carryforwards expiration period 5 years  
State tax benefits expiration period 8 years  
Maximum | State And Local Jurisdiction    
Tax Carryforward    
State tax benefits expiration period 5 years  
Maximum | Foreign Tax Authority    
Tax Carryforward    
State tax benefits expiration period 10 years  
Internal Revenue Service (IRS)    
Tax Carryforward    
Deferred tax assets $ 1.3  
Deferred tax asset tax benefit 0.3  
Deferred tax asset valuation allowance $ 0.3