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Schedule II Valuation and Qualifying Accounts (Details) - USD ($)
$ in Millions
 12 Months Ended
May 30, 2020
Jun. 01, 2019
Jun. 02, 2018
Allowance for Doubtful Accounts, Current      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at beginning of period $ 2.9 $ 2.4 $ 2.3
Charges to expenses or net sales 2.3 0.6 0.6
Deductions (0.9) (0.1) (0.5)
Balance at end of period 4.3 2.9 2.4
Sales Returns and Allowances      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at beginning of period 0.6 0.5 0.4
Charges to expenses or net sales 0.0 0.0 0.1
Deductions (0.5) 0.1 0.0
Balance at end of period 0.1 0.6 0.5
Allowance for Doubtful Accounts, Noncurrent      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at beginning of period 0.3 0.4 0.9
Charges to expenses or net sales 0.0 (0.1) (0.5)
Deductions 0.0 0.0 0.0
Balance at end of period 0.3 0.3 0.4
Valuation Allowance of Deferred Tax Assets      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at beginning of period 10.4 10.3 10.0
Charges to expenses or net sales 0.4 0.4 0.5
Deductions (0.2) (0.3) (0.2)
Balance at end of period $ 10.6 $ 10.4 $ 10.3