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Employee Benefit Plans - Net Periodic Benefit Costs (Details) (USD $)
In Millions, unless otherwise specified
 12 Months Ended
Jun. 01, 2013
Jun. 02, 2012
May 28, 2011
Defined Benefit Plan, Net Periodic Benefit Cost [Abstract]      
Net periodic benefit cost $ 31.9 $ 8.8 $ 13.1
Pension Benefits, Domestic [Member]
      
Defined Benefit Plan, Net Periodic Benefit Cost [Abstract]      
Service cost 1.9 7.0 6.9
Interest cost 10.9 14.4 15.1
Expected return on plan assets (12.1) (19.3) (18.7)
Net amortization 11.8 7.2 6.0
Curtailment (gain) 0 (1.7) 0
Defined Benefit Plan, Recognized Net Gain (Loss) Due to Settlements 18.8 0 0
Net periodic benefit cost 31.3 7.6 9.3
Pension Benefits, Foreign [Member]
      
Defined Benefit Plan, Net Periodic Benefit Cost [Abstract]      
Service cost 0 1.3 1.9
Interest cost 3.7 3.9 4.3
Expected return on plan assets (4.9) (4.8) (4.2)
Net amortization 1.4 0.3 1.2
Net periodic benefit cost 0.2 0.7 3.2
Post-Retirement Benefits [Member]
      
Defined Benefit Plan, Net Periodic Benefit Cost [Abstract]      
Service cost 0 0 0
Interest cost 0.3 0.4 0.5
Expected return on plan assets 0 0 0
Net amortization 0.1 0.1 0.1
Curtailment (gain) 0 0 0
Defined Benefit Plan, Recognized Net Gain (Loss) Due to Settlements 0 0 0
Net periodic benefit cost $ 0.4 $ 0.5 $ 0.6