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Goodwill and Indefinite-Lived Intangibles - Schedule of Goodwill and Indefinite-lived Intangibles (Details) - USD ($)
$ in Millions
9 Months Ended
Mar. 04, 2023
May 28, 2022
Goodwill [Roll Forward]    
Goodwill   $ 1,351.7
Foreign currency translation adjustments $ (8.4)  
Accumulated impairment losses (125.5)  
Goodwill 1,217.8 1,226.2
Indefinite-Lived Intangible Assets [Roll Forward]    
Indefinite-lived intangible assets, beginning balance 501.0  
Foreign currency translation adjustments (1.6)  
Indefinite-lived intangible assets, ending balance 499.4  
Americas Contract    
Goodwill [Roll Forward]    
Goodwill   530.1
Foreign currency translation adjustments (3.4)  
Accumulated impairment losses 0.0  
Goodwill 526.7  
International Contract & Specialty    
Goodwill [Roll Forward]    
Goodwill   341.0
Foreign currency translation adjustments (2.4)  
Accumulated impairment losses (36.7)  
Goodwill 301.9  
Global Retail    
Goodwill [Roll Forward]    
Goodwill   $ 480.6
Foreign currency translation adjustments (2.6)  
Accumulated impairment losses (88.8)  
Goodwill $ 389.2