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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 28, 2022
May 29, 2021
May 30, 2020
Components of the amounts recognized in the Consolidated Balance Sheets:      
Non-current liabilities $ (25.0) $ (34.5)  
United States | Pension Plan      
Change in benefit obligation:      
Benefit obligation at beginning of year 0.0 0.0  
Acquisition of Knoll 189.8 0.0  
Interest cost 3.9 0.0 $ 0.0
Expected Administrative Expenses 0.5 0.0 0.0
Loss related to settlement 1.0 0.0  
Foreign exchange impact 0.0 0.0  
Actuarial gain (loss) (28.0) 0.0  
Administrative expenses paid (0.5) 0.0  
Benefits paid (4.2) 0.0  
Benefits paid related to settlement (9.9) 0.0  
Benefit obligation at end of year 152.6 0.0 0.0
Change in plan assets:      
Fair value of plan assets at beginning of year 0.0 0.0  
Acquisition of Knoll 175.4 0.0  
Actual return on plan assets (16.8) 0.0  
Foreign exchange impact 0.0 0.0  
Employer contributions 0.0 0.0  
Actual expenses paid (0.5) 0.0  
Benefits paid (14.1) 0.0  
Fair value of plan assets at end of year 144.0 0.0 0.0
Funded status:      
Under-funded status at end of year (8.6) 0.0  
Components of the amounts recognized in the Consolidated Balance Sheets:      
Current liabilities 0.0 0.0  
Non-current liabilities (8.6) 0.0  
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 (gain) loss (2.8) 0.0  
Accumulated other comprehensive (gain) loss (2.8) 0.0  
International      
Change in benefit obligation:      
Expected Administrative Expenses   0.0  
Loss related to settlement   0.0  
Administrative expenses paid   0.0  
Benefits paid related to settlement   0.0  
International | Pension Plan      
Change in benefit obligation:      
Benefit obligation at beginning of year 140.9 126.5  
Acquisition of Knoll 0.0 0.0  
Interest cost 2.4 2.2 2.4
Expected Administrative Expenses 0.0 0.0 0.0
Loss related to settlement 0.0    
Foreign exchange impact (14.1) 18.6  
Actuarial gain (loss) (21.9) (2.9)  
Administrative expenses paid 0.0    
Benefits paid (2.8) (3.5)  
Benefits paid related to settlement 0.0    
Benefit obligation at end of year 104.5 140.9 126.5
Change in plan assets:      
Fair value of plan assets at beginning of year 109.9 88.1  
Acquisition of Knoll 0.0 0.0  
Actual return on plan assets (6.9) 6.6  
Foreign exchange impact (11.8) 13.7  
Employer contributions 5.0 5.0  
Actual expenses paid 0.0 0.0  
Benefits paid (2.7) (3.5)  
Fair value of plan assets at end of year 93.5 109.9 $ 88.1
Funded status:      
Under-funded status at end of year (11.0) (31.0)  
Components of the amounts recognized in the Consolidated Balance Sheets:      
Current liabilities 0.0 0.0  
Non-current liabilities (10.9) (30.9)  
Components of the amounts recognized in Accumulated other comprehensive loss before the effect of income taxes:      
Prior service cost 0.5 0.7  
Unrecognized net actuarial (gain) loss 41.4 61.8  
Accumulated other comprehensive (gain) loss $ 41.9 $ 62.5