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Schedule II Valuation and Qualifying Accounts (Details) - USD ($)
$ in Millions
 12 Months Ended
Jun. 01, 2024
Jun. 03, 2023
May 28, 2022
Accounts receivable allowances - uncollectible accounts      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at beginning of period $ 6.1 $ 8.6 $ 4.8
Charges to expenses or net sales 1.1 0.5 1.3
Charges to other accounts 0.0 0.0 4.7
Deductions (0.1) (3.0) (2.2)
Balance at end of period 7.1 6.1 8.6
Accounts receivable allowances - credit memo      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at beginning of period 0.3 1.1 0.7
Charges to expenses or net sales 0.0 (0.8) 0.4
Charges to other accounts 0.0 0.0 0.0
Deductions 0.0 0.0 0.0
Balance at end of period 0.3 0.3 1.1
Allowance for possible losses on notes receivable      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at beginning of period   0.0 0.0
Charges to expenses or net sales     0.0
Charges to other accounts     0.0
Deductions     0.0
Balance at end of period     0.0
Valuation allowance for deferred tax asset      
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]      
Balance at beginning of period 12.7 11.7 8.9
Charges to expenses or net sales 2.6 1.3 0.4
Charges to other accounts 0.0 0.0 0.0
Deductions 0.1 (0.3) 2.4
Balance at end of period $ 15.4 $ 12.7 $ 11.7