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Income Taxes - Narrative (Details) - USD ($)
$ in Millions
12 Months Ended
Jun. 01, 2024
Jun. 01, 2024
Jun. 03, 2023
Tax Carryforward      
State and local tax net operating loss carryforwards and credits $ 5.7 $ 5.7 $ 4.7
Federal net operating loss carryforward 3.0 3.0 5.2
Deferred tax assets 244.3 244.3 231.2
Deferred tax asset valuation allowance 15.4 15.4 12.7
Foreign tax net operating loss carryforwards and credits 18.0 18.0 $ 14.2
Foreign cash intended to be repatriated 114.9 114.9  
Undistributed earnings of foreign subsidiaries 3.7 3.7  
State And Local Jurisdiction      
Tax Carryforward      
Operating loss carryforwards 83.6 83.6  
State and local tax net operating loss carryforwards and credits 5.0 5.0  
State credits 0.7 0.7  
Valuation allowance 1.3 1.3  
Internal Revenue Service (IRS)      
Tax Carryforward      
Operating loss carryforwards 14.3 14.3  
Federal net operating loss carryforward 3.0 3.0  
Foreign Tax Authority      
Tax Carryforward      
Operating loss carryforwards 62.4 62.4  
State credits 1.9 1.9  
Valuation allowance 13.0 13.0  
Deferred tax asset valuation allowance 0.8 0.8  
Foreign tax net operating loss carryforwards and credits 16.1 16.1  
Foreign deferred assets 3.1 3.1  
Foreign deferred assets tax benefit 0.8 0.8  
Undistributed earnings of foreign subsidiaries $ 347.5 $ 347.5  
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   5 years  
Minimum | Foreign Tax Authority      
Tax Carryforward      
State and local tax net operating loss carryforwards expiration period   4 years  
State tax benefits expiration period 6 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 12 years    
Internal Revenue Service (IRS)      
Tax Carryforward      
Deferred tax assets $ 1.3 $ 1.3  
Deferred tax asset tax benefit 0.3 0.3  
Deferred tax asset valuation allowance $ 0.3 $ 0.3