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Employee Benefit Plans (Details) - Foreign Pension Plan - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Mar. 03, 2018
Mar. 04, 2017
Mar. 03, 2018
Mar. 04, 2017
Defined Benefit Plan Disclosure        
Interest cost $ 0.8 $ 0.7 $ 2.5 $ 2.2
Expected return on plan assets (1.7) (1.2) (5.3) (3.7)
Net amortization loss 1.3 0.6 3.9 1.8
Net periodic benefit cost $ 0.4 $ 0.1 1.1 $ 0.3
Pension contributions     $ 12.0