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Employee Benefit Plans - Schedule of Amounts Recognized in Other Comprehensive Income (Loss) (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 02, 2018	Jun. 03, 2017
Post-Retirement Benefits
Defined Benefit Plan Disclosure
Net actuarial gain	$ (0.5)	$ (0.4)
Total recognized in other comprehensive loss	(0.5)	(0.4)
Domestic
Defined Benefit Plan Disclosure
Net actuarial gain	0.0	0.0
Total recognized in other comprehensive loss	0.0	0.0
International
Defined Benefit Plan Disclosure
Net actuarial gain	(7.7)	18.6
Net amortization	(4.2)	(2.2)
Total recognized in other comprehensive loss	$ (11.9)	$ 16.4

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Amount, before tax, after reclassification adjustment, of (increase) decrease in accumulated other comprehensive income for defined benefit plan.

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Amount, before tax, of gain (loss) for (increase) decrease in value of benefit obligation for change in actuarial assumptions and increase (decrease) in value of plan assets from experience different from that assumed of defined benefit plan, that has not been recognized in net periodic benefit (cost) credit.

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