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Employee Benefit Plans - Schedule of Net Benefit Costs (Details) - USD ($)
$ in Millions
 12 Months Ended
Jun. 03, 2023
May 28, 2022
May 29, 2021
United States | Pension Plan      
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) [Abstract]      
Interest cost $ 6.1 $ 3.9 $ 0.0
Expected return on plan assets (8.3) (7.3) 0.0
Amortization of prior service costs (0.1) 0.0 0.0
Expected administrative expenses 0.6 0.5 0.0
Settlement related expenses (0.6) (0.1) 0.0
Amortization of net loss/(gain) 0.0 0.0 0.0
Net periodic benefit (income) cost (2.3) (3.0) 0.0
International      
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) [Abstract]      
Expected administrative expenses   0.0  
International | Pension Plan      
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) [Abstract]      
Interest cost 3.1 2.4 2.2
Expected return on plan assets (4.7) (5.1) (4.6)
Amortization of prior service costs 0.1 0.1 0.1
Expected administrative expenses 0.0 0.0 0.0
Settlement related expenses 0.0 0.0 0.0
Amortization of net loss/(gain) 2.2 4.5 5.3
Net periodic benefit (income) cost $ 0.7 $ 1.9 $ 3.0