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Schedule II Valuation and Qualifying Accounts (Details) - USD ($)
$ in Millions
 12 Months Ended
Jun. 02, 2018
Jun. 03, 2017
May 28, 2016
Allowance for Doubtful Accounts, Current      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Valuation Allowances and Reserves, Beginning Balance $ 2.3 $ 3.4 $ 2.4
SEC Schedule, 12-09, Valuation Allowances and Reserves, Additions, Charge to Cost and Expense 0.6 0.0 2.3
SEC Schedule, 12-09, Valuation Allowances and Reserves, Deduction (0.5) (1.1) (1.3)
Valuation Allowances and Reserves, Ending Balance 2.4 2.3 3.4
Sales Returns and Allowances      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Valuation Allowances and Reserves, Beginning Balance 0.4 0.4 0.4
SEC Schedule, 12-09, Valuation Allowances and Reserves, Additions, Charge to Cost and Expense 0.1 0.0 0.0
SEC Schedule, 12-09, Valuation Allowances and Reserves, Deduction 0.0 0.0 0.0
Valuation Allowances and Reserves, Ending Balance 0.5 0.4 0.4
Allowance for Doubtful Accounts, Noncurrent      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Valuation Allowances and Reserves, Beginning Balance 0.9 0.9 1.0
SEC Schedule, 12-09, Valuation Allowances and Reserves, Additions, Charge to Cost and Expense (0.5) 0.0 (0.1)
SEC Schedule, 12-09, Valuation Allowances and Reserves, Deduction 0.0 0.0 0.0
Valuation Allowances and Reserves, Ending Balance 0.4 0.9 0.9
Valuation Allowance of Deferred Tax Assets      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Valuation Allowances and Reserves, Beginning Balance 10.0 10.6 11.1
SEC Schedule, 12-09, Valuation Allowances and Reserves, Additions, Charge to Cost and Expense 0.5 (0.6) (1.5)
SEC Schedule, 12-09, Valuation Allowances and Reserves, Deduction (0.2) 0.0 1.0
Valuation Allowances and Reserves, Ending Balance $ 10.3 $ 10.0 $ 10.6