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Employee Benefit Plans (Details) - Foreign Plan - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Mar. 02, 2019
Mar. 03, 2018
Mar. 02, 2019
Mar. 03, 2018
Defined Benefit Plan Disclosure        
Interest cost $ 0.7 $ 0.8 $ 2.0 $ 2.5
Expected return on plan assets (1.1) (1.7) (3.3) (5.3)
Net amortization loss 0.7 1.3 2.0 3.9
Net periodic benefit cost $ 0.3 0.4 $ 0.7 1.1
Employer voluntary contributions       12.0
Retrospective adjustment ASU 2017-07        
Defined Benefit Plan Disclosure        
Net periodic benefit cost, reclassification   $ 0.4   $ 1.2