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Significant Accounting and Reporting Policies, Long Lived Assets (Details) (USD $) In Millions, unless otherwise specified	12 Months Ended				12 Months Ended		12 Months Ended
	Jun. 02, 2012	Jun. 01, 2013	Jun. 01, 2013 Patents and Trademarks [Member]	Jun. 02, 2012 Patents and Trademarks [Member]	Jun. 01, 2013 Customer Relationships [Member]	Jun. 02, 2012 Customer Relationships [Member]	Jun. 01, 2013 Minimum [Member]	Jun. 01, 2013 Minimum [Member] Patents [Member]	Jun. 01, 2013 Minimum [Member] Trademarks [Member]	Jun. 01, 2013 Maximum [Member]	Jun. 01, 2013 Maximum [Member] Patents [Member]	Jun. 01, 2013 Maximum [Member] Trademarks [Member]
Long Lived Assets [Line Items]
Impairment of Long-Lived Assets Held-for-use	$ 1.4
Gross carrying value	46.7	66.7	26.6	22.7	40.1	24.0
Accumulated amortization	15.6	18.7	13.9	12.4	4.8	3.2
Net	31.1	48.0	12.7	10.3	35.3	20.8
Finite-Lived Intangible Assets, Useful Life					15 years		5 years	5 years	5 years	20 years	7 years	7 years
Finite-Lived Intangible Assets, Future Amortization Expense [Abstract]
2014		4.3
2015		4.1
2016		4.0
2017		4.0
2018		$ 3.9

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Accumulated amount of amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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Amount of amortization expense expected to be recognized during the next fiscal year following the latest fiscal year for assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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Amount of amortization expense expected to be recognized during the fifth fiscal year following the latest fiscal year for assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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Amount of amortization expense expected to be recognized during the fourth fiscal year following the latest fiscal year for assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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Amount of amortization expense expected to be recognized during the third fiscal year following the latest fiscal year for assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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Amount of amortization expense expected to be recognized during the second fiscal year following the latest fiscal year for assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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Amount before amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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Amount after amortization of assets, excluding financial assets and goodwill, lacking physical substance with a finite life.

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Useful life of finite-lived intangible assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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The aggregate amount of write-downs for impairments recognized during the period for long lived assets held for use (including those held for disposal by means other than sale).

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