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Accumulated Other Comprehensive Income (Loss) Accumulated Other Comprehensive Income (Loss) (Details) (USD $) In Millions, unless otherwise specified	3 Months Ended		9 Months Ended
	Mar. 01, 2014	Mar. 02, 2013	Mar. 01, 2014	Mar. 02, 2013	Jun. 01, 2013
Cumulative translation adjustments [Roll Forward]
Cumulative translation adjustments at beginning of period			$ (14.0)	$ (13.0)
Translation adjustments	0.1	(3.4)	2.2	(0.8)
Balance at end of period	(11.8)	(13.8)	(11.8)	(13.8)
Pension and other post-retirement benefit plans [Roll Forward]
Pension and other post-retirement benefit plans at beginning of period			(110.3)	(127.6)
Adjustments to pension and other post-retirement benefit plans			(2.0)	(0.2)
Balance at end of period	(22.4)	(117.4)	(22.4)	(117.4)
Total accumulated other comprehensive loss	(34.2)	(131.2)	(34.2)	(131.2)	(124.3)
Cost of Sales [Member]
Pension and other post-retirement benefit plans [Roll Forward]
Reclassification Adjustment from AOCI, Pension and Other Postretirement Plans, Tax			15.9	0.4
Reclassification Adjustment from AOCI, Pension and Other Postretirement Plans, Net of Tax			27.6	0.7
Operating Expense [Member]
Pension and other post-retirement benefit plans [Roll Forward]
Reclassification Adjustment from AOCI, Pension and Other Postretirement Plans, Tax			35.7	5.5
Reclassification Adjustment from AOCI, Pension and Other Postretirement Plans, Net of Tax			$ 62.3	$ 9.7

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The total of net gain (loss), prior service cost (credit), and transition assets (obligations), as well as minimum pension liability if still remaining, included in accumulated other comprehensive income associated with a defined benefit pension or other postretirement plan(s) because they have yet to be recognized as components of net periodic benefit cost.

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Accumulated adjustment, net of tax, that results from the process of translating subsidiary financial statements and foreign equity investments into the reporting currency from the functional currency of the reporting entity, net of reclassification of realized foreign currency translation gains or losses.

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Accumulated change in equity from transactions and other events and circumstances from non-owner sources, net of tax effect, at period end. Excludes Net Income (Loss), and accumulated changes in equity from transactions resulting from investments by owners and distributions to owners. Includes foreign currency translation items, certain pension adjustments, unrealized gains and losses on certain investments in debt and equity securities, other than temporary impairment (OTTI) losses related to factors other than credit losses on available-for-sale and held-to-maturity debt securities that an entity does not intend to sell and it is not more likely than not that the entity will be required to sell before recovery of the amortized cost basis, as well as changes in the fair value of derivatives related to the effective portion of a designated cash flow hedge.

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Amount after tax and reclassification adjustments of gain (loss) on foreign currency translation adjustments, foreign currency transactions designated and effective as economic hedges of a net investment in a foreign entity and intra-entity foreign currency transactions that are of a long-term-investment nature.

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Amount after tax, before reclassification adjustments, of (increase) decrease in accumulated other comprehensive (income) loss related to pension and other postretirement benefit plans.

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Amount after tax of reclassification adjustment from accumulated other comprehensive (income) loss related to net period benefit cost (credit) for pension and other postretirement defined benefit plans.

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Amount of tax (expense) benefit of reclassification adjustment from accumulated other comprehensive (income) loss related to pension and other postretirement defined benefit plans.

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