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Revenue from Contracts with Customers - Revenue Disaggregated By Contract Type (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Nov. 28, 2020	Nov. 30, 2019	Nov. 28, 2020	Nov. 30, 2019
Disaggregation of Revenue [Line Items]
Net sales	$ 626.3	$ 674.2	$ 1,253.0	$ 1,345.2
Single performance obligation | Product revenue
Disaggregation of Revenue [Line Items]
Net sales	544.3	572.7	1,087.6	1,138.9
Multiple performance obligations | Product revenue
Disaggregation of Revenue [Line Items]
Net sales	77.2	95.8	155.7	195.7
Multiple performance obligations | Service revenue
Disaggregation of Revenue [Line Items]
Net sales	2.9	2.9	6.0	5.2
Other
Disaggregation of Revenue [Line Items]
Net sales	$ 1.9	$ 2.8	$ 3.7	$ 5.4

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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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