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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 30, 2020
Jun. 01, 2019
Jun. 02, 2018
Components of the amounts recognized in the Consolidated Balance Sheets:      
Non-current liabilities $ (42.4) $ (24.5)  
International | Pension Plan      
Change in benefit obligation:      
Benefit obligation at beginning of year 109.1 105.9  
Interest cost 2.4 2.7 $ 2.7
Plan Amendments 0.0 0.9  
Foreign exchange impact (2.9) (6.0)  
Actuarial loss (gain) 21.0 9.7  
Benefits paid (3.1) (4.1)  
Benefit obligation at end of year 126.5 109.1 105.9
Change in plan assets:      
Fair value of plan assets at beginning of year 88.2 94.6  
Actual return on plan assets 4.7 2.5  
Foreign exchange impact (2.0) (5.1)  
Employer contributions 0.3 0.3  
Benefits paid (3.1) (4.1)  
Fair value of plan assets at end of year 88.1 88.2 $ 94.6
Funded status:      
Under funded status at end of year (38.4) (20.9)  
Components of the amounts recognized in the Consolidated Balance Sheets:      
Current liabilities 0.0 0.0  
Non-current liabilities (38.3) (20.9)  
Components of the amounts recognized in Accumulated other comprehensive loss before the effect of income taxes:      
Prior service cost 0.7 0.8  
Unrecognized net actuarial loss (gain) 63.2 47.3  
Accumulated other comprehensive loss $ 63.9 $ 48.1