Employee Benefit Plans - Net Periodic Benefit Costs (Details) (USD $) In Millions, unless otherwise specified	12 Months Ended
	Jun. 02, 2012	May 28, 2011	May 29, 2010
Defined Benefit Plan, Net Periodic Benefit Cost [Abstract]
Net periodic benefit cost	$ 8.8	$ 13.1	$ 12.0
Pension Benefits, Domestic [Member]
Defined Benefit Plan, Net Periodic Benefit Cost [Abstract]
Service cost	7.0	6.9	8.1
Interest cost	14.4	15.1	17.9
Expected return on plan assets	(19.3)	(18.7)	(18.9)
Net amortization	7.2	6.0	3.1
Curtailment (gain)	(1.7)	0	0
Net periodic benefit cost	7.6	9.3	10.2
Pension Benefits, Foreign [Member]
Defined Benefit Plan, Net Periodic Benefit Cost [Abstract]
Service cost	1.3	1.9	0
Interest cost	3.9	4.3	4.2
Expected return on plan assets	(4.8)	(4.2)	(4.4)
Net amortization	0.3	1.2	1.3
Net periodic benefit cost	0.7	3.2	1.1
Post-Retirement Benefits [Member]
Defined Benefit Plan, Net Periodic Benefit Cost [Abstract]
Service cost	0	0	0
Interest cost	0.4	0.5	0.6
Expected return on plan assets	0	0	0
Net amortization	0.1	0.1	0.1
Curtailment (gain)	0	0	0
Net periodic benefit cost	$ 0.5	$ 0.6	$ 0.7