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Income Taxes - Unrecognized Tax Benefits (Details) (USD $) In Millions, unless otherwise specified	12 Months Ended
	Jun. 01, 2013	Jun. 02, 2012	May 28, 2011
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Unrecognized Tax Benefits	$ 1.3	$ 1.6
Increases related to current year income tax positions	0.4	0.2
Increases related to prior year income tax positions	0	0
Decreases related to prior year income tax positions	(0.1)	(0.3)
Decreases related to lapse of applicable statute of limitations	(0.2)	0
Decreases related to settlements	0	(0.2)
Unrecognized Tax Benefits	1.4	1.3	1.6
Interest and penalty expense (income)	0	0	(0.2)
Liability for Interest and penalties	$ 0.4	$ 0.5

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Amount of unrecognized tax benefits pertaining to uncertain tax positions taken in tax returns.

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Amount of decrease in unrecognized tax benefits resulting from tax positions taken in prior period tax returns.

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Amount accrued for interest on an underpayment of income taxes and penalties related to a tax position claimed or expected to be claimed in the tax return.

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Amount of expense for interest on an underpayment of income taxes and penalties related to a tax position claimed or expected to be claimed in the tax return.

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Amount of decrease in unrecognized tax benefits resulting from lapses of applicable statutes of limitations.

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