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Operating Leases (Details) (USD $)
In Millions, unless otherwise specified
12 Months Ended
Jun. 01, 2013
Jun. 02, 2012
May 28, 2011
Operating Leases, Future Minimum Payments Due [Abstract]      
2014 $ 19.4    
2015 15.1    
2016 11.6    
2017 8.9    
2018 7.6    
Thereafter 15.0    
Operating Leases, Rent Expense $ 23.0 $ 20.7 $ 22.8