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Operating Segments - Schedule of Segment Reporting Information (Details) - USD ($)
$ in Millions
 12 Months Ended
Jun. 03, 2023
May 28, 2022
May 29, 2021
Segment Reporting Information      
Net sales $ 4,087.1 $ 3,946.0 $ 2,465.1
Depreciation and amortization 155.1 190.6 87.2
Operating earnings (loss) 122.3 39.8 232.5
Capital expenditures 83.3 94.7 59.8
Goodwill 1,221.7 1,226.2 364.2
Corporate      
Segment Reporting Information      
Depreciation and amortization 0.0 0.0 0.0
Operating earnings (loss) (60.4) (140.6) (52.3)
Americas Contract      
Segment Reporting Information      
Goodwill 528.4 530.1 160.7
Americas Contract | Operating segments      
Segment Reporting Information      
Net sales 2,026.1 1,929.1 1,234.6
Depreciation and amortization 87.7 104.5 48.4
Operating earnings (loss) 99.6 (24.0) 97.2
Capital expenditures 52.4 52.5 40.8
International Contract and Specialty      
Segment Reporting Information      
Net sales 1,017.3 928.5  
Goodwill 303.0 304.3 111.2
International Contract and Specialty | Operating segments      
Segment Reporting Information      
Net sales 1,017.3 928.5 479.6
Depreciation and amortization 33.4 52.3 20.2
Operating earnings (loss) 98.6 69.9 49.4
Capital expenditures 15.6 17.8 11.3
Global Retail      
Segment Reporting Information      
Goodwill 390.3 391.8 92.3
Global Retail | Operating segments      
Segment Reporting Information      
Net sales 1,043.7 1,088.4 750.9
Depreciation and amortization 34.0 33.8 18.6
Operating earnings (loss) (15.5) 134.5 138.2
Capital expenditures $ 15.3 $ 24.4 $ 7.7