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Employee Benefit Plans - Schedule of Net Benefit Costs (Details) - Pension Plan - USD ($)
$ in Millions
 12 Months Ended
Jun. 01, 2024
Jun. 03, 2023
May 28, 2022
Domestic      
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) [Abstract]      
Interest cost $ 6.1 $ 6.1 $ 3.9
Expected return on plan assets (9.1) (8.3) (7.3)
Expected administrative expenses 0.7 0.6 0.5
Settlement related expenses 0.0 (0.6) (0.1)
Amortization of prior service cost 0.0 0.0 0.0
Amortization of net (gain) loss (0.1) (0.1) 0.0
Net periodic benefit (income) cost (2.4) (2.3) (3.0)
International      
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) [Abstract]      
Interest cost 4.1 3.1 2.4
Expected return on plan assets (5.0) (4.7) (5.1)
Expected administrative expenses 0.0 0.0 0.0
Settlement related expenses 0.0 0.0 0.0
Amortization of prior service cost 0.1 0.1 0.1
Amortization of net (gain) loss 0.0 2.2 4.5
Net periodic benefit (income) cost $ (0.8) $ 0.7 $ 1.9