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Employee Benefit Plans - Schedule of Funded Status and Amounts Recognized in the Balance Sheet (Details) - USD ($)
$ in Millions
 12 Months Ended
May 31, 2025
Jun. 01, 2024
Jun. 03, 2023
Components of the amounts recognized in the Consolidated Balance Sheets:      
Non-current liabilities $ 7.1 $ 10.0  
Domestic | Pension Plan      
Change in benefit obligation:      
Benefit obligation at beginning of year 125.9 123.8  
Interest cost 2.7 6.1 $ 6.1
Plan settlements (123.5) 0.0  
Foreign exchange impact 0.0 0.0  
Actuarial loss (gain) (1.3) 4.4  
Benefits paid (3.8) (8.4)  
Benefit obligation at end of year 0.0 125.9 123.8
Change in plan assets:      
Fair value of plan assets at beginning of year 123.1 126.3  
Actual return on plan assets 6.0 5.7  
Foreign exchange impact 0.0 0.0  
Employer contributions 0.0 0.1  
Asset reversion (0.6) 0.0  
Plan settlements (123.5) 0.0  
Actual expenses paid (1.2) (0.6)  
Benefits paid (3.8) (8.4)  
Fair value of plan assets at end of year 0.0 123.1 126.3
Funded status:      
Over (under) funded status at end of year 0.0 (2.8)  
Components of the amounts recognized in the Consolidated Balance Sheets:      
Current assets 0.0 0.0  
Non-current assets 0.0 0.0  
Current liabilities 0.0 0.0  
Non-current liabilities 0.0 2.8  
Components of the amounts recognized in Accumulated other comprehensive loss before the effect of income taxes:      
Prior service cost 0.0 0.0  
Unrecognized net actuarial loss (gain) 0.0 3.5  
Accumulated other comprehensive loss (gain) 0.0 3.5  
International      
Change in benefit obligation:      
Plan settlements   0.0  
International | Pension Plan      
Change in benefit obligation:      
Benefit obligation at beginning of year 81.2 76.0  
Interest cost 4.3 4.1 3.1
Plan settlements 0.0    
Foreign exchange impact 4.5 1.8  
Actuarial loss (gain) (8.1) 2.6  
Benefits paid (4.0) (3.3)  
Benefit obligation at end of year 77.9 81.2 76.0
Change in plan assets:      
Fair value of plan assets at beginning of year 89.3 84.4  
Actual return on plan assets (3.2) 4.5  
Foreign exchange impact 4.9 2.0  
Employer contributions 0.3 1.7  
Asset reversion 0.0 0.0  
Plan settlements 0.0 0.0  
Actual expenses paid 0.0 0.0  
Benefits paid (4.0) (3.3)  
Fair value of plan assets at end of year 87.3 89.3 $ 84.4
Funded status:      
Over (under) funded status at end of year 9.4 8.1  
Components of the amounts recognized in the Consolidated Balance Sheets:      
Current assets 0.0 0.0  
Non-current assets 9.4 8.1  
Current liabilities 0.0 0.0  
Non-current liabilities 0.0 0.0  
Components of the amounts recognized in Accumulated other comprehensive loss before the effect of income taxes:      
Prior service cost 0.3 0.4  
Unrecognized net actuarial loss (gain) 31.1 29.2  
Accumulated other comprehensive loss (gain) $ 31.4 $ 29.6