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Employee Benefit Plans - Schedule of Net Benefit Costs (Details) - International - Pension Plan - USD ($)
$ in Millions
 12 Months Ended
May 30, 2020
Jun. 01, 2019
Jun. 02, 2018
Defined Benefit Plan, Net Periodic Benefit Cost (Credit) [Abstract]      
Interest cost $ 2.4 $ 2.7 $ 2.7
Expected return on plan assets (4.4) (4.5) (5.6)
Amortization of prior service costs 0.1 0.1 0.0
Amortization of net (gain)/loss 3.2 2.7 4.2
Net periodic benefit cost $ 1.3 $ 1.0 $ 1.3