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Employee Benefit Plans (Details) - Foreign Pension Plan - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Mar. 04, 2017
Feb. 27, 2016
Mar. 04, 2017
Feb. 27, 2016
Defined Benefit Plan Disclosure        
Interest cost $ 0.7 $ 1.0 $ 2.2 $ 2.9
Expected return on plan assets (1.2) (1.4) (3.7) (4.1)
Net amortization loss 0.6 0.6 1.8 2.0
Net periodic benefit cost $ 0.1 $ 0.2 $ 0.3 $ 0.8