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Revenue Disaggregated By Contract Type (Details) - USD ($) $ in Millions	12 Months Ended
	May 30, 2020	Jun. 01, 2019	Jun. 02, 2018
Disaggregation of Revenue [Line Items]
Net sales	$ 2,486.6	$ 2,567.2	$ 2,381.2
Single performance obligation | Product revenue
Disaggregation of Revenue [Line Items]
Net sales	2,116.6	2,155.0
Multiple performance obligations | Product revenue
Disaggregation of Revenue [Line Items]
Net sales	347.8	390.0
Multiple performance obligations | Service revenue
Disaggregation of Revenue [Line Items]
Net sales	9.7	12.6
Other
Disaggregation of Revenue [Line Items]
Net sales	$ 12.5	$ 9.6

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Amount, excluding tax collected from customer, of revenue from satisfaction of performance obligation by transferring promised good or service to customer. Tax collected from customer is tax assessed by governmental authority that is both imposed on and concurrent with specific revenue-producing transaction, including, but not limited to, sales, use, value added and excise.

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