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Income Taxes - Components of Earnings, Provision for (Benefit From) from Income Taxes, Reconciliation (Details) (USD $)
In Millions, unless otherwise specified
 12 Months Ended
Jun. 01, 2013
Jun. 02, 2012
May 28, 2011
Income (Loss) from Continuing Operations before Equity Method Investments, Income Taxes, Extraordinary Items, Noncontrolling Interest [Abstract]      
Domestic $ 89.9 $ 107.6 $ 93.4
Foreign 7.3 11.9 9.1
Earnings before income taxes 97.2 119.5 102.5
Current Income Tax Expense (Benefit), Continuing Operations [Abstract]      
Current: Domestic - Federal 36.4 21.8 1.4
Domestic - State 5.2 2.0 0.8
Foreign 3.9 6.0 5.7
Current Income Tax Expense (Benefit) 45.5 29.8 7.9
Deferred Income Tax Expense (Benefit), Continuing Operations [Abstract]      
Deferred: Domestic - Federal (14.9) 11.2 26.4
Domestic - State (1.4) 1.4 1.4
Foreign (0.3) 1.9 (4.0)
Deferred Income Tax Expense (Benefit) (16.6) 14.5 23.8
Total income tax provision 28.9 44.3 31.7
Income Tax Expense (Benefit), Continuing Operations, Income Tax Reconciliation [Abstract]      
Income taxes computed at the United States Statutory rate of 35% 34.0 41.8 35.8
Change in unrecognized tax benefits 0.1 (0.3) (0.3)
Foreign statutory rate differences (1.9) (1.2) (1.6)
Income Tax Reconciliation, Deductions, Other (4.0) (2.9) (2.4)
Income Tax Reconciliation, State and Local Income Taxes 2.5 3.0 1.8
Income Tax Reconciliation, Tax Credits, Foreign (0.6) (0.2) (1.3)
Other, net $ (1.2) $ 4.1 $ (0.3)
Effective tax rate 29.80% 37.10% 30.90%
Effective Income Tax Rate Reconciliation, at Federal Statutory Income Tax Rate 35.00% 35.00% 35.00%