Revenue from Contracts with Customers - Revenue Disaggregated By Contract Type (Details) - USD ($) $ in Millions	3 Months Ended	9 Months Ended
Mar. 02, 2024	Mar. 04, 2023	Mar. 02, 2024	Mar. 04, 2023
Disaggregation of Revenue [Line Items]
Net sales	$ 872.3	$ 984.7	$ 2,739.5	$ 3,130.4
Single performance obligation \| Product revenue
Disaggregation of Revenue [Line Items]
Net sales	809.9	919.7	2,526.7	2,924.0
Multiple performance obligations \| Product revenue
Disaggregation of Revenue [Line Items]
Net sales	58.3	60.9	201.9	193.7
Multiple performance obligations \| Service revenue
Disaggregation of Revenue [Line Items]
Net sales	1.4	0.8	3.4	2.6
Other
Disaggregation of Revenue [Line Items]
Net sales	$ 2.7	$ 3.3	$ 7.5	$ 10.1

Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table.

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.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
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Reference 2: http://www.xbrl.org/2003/role/disclosureRef
-Topic 606
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Reference 3: http://www.xbrl.org/2003/role/disclosureRef
-Topic 280
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Reference 4: http://www.xbrl.org/2003/role/disclosureRef
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Reference 5: http://www.xbrl.org/2003/role/disclosureRef
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Reference 6: http://www.xbrl.org/2003/role/disclosureRef
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Reference 7: http://www.xbrl.org/2003/role/disclosureRef
-Topic 280
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Reference 8: http://www.xbrl.org/2003/role/disclosureRef
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Reference 9: http://www.xbrl.org/2003/role/disclosureRef
-Topic 280
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Reference 10: http://www.xbrl.org/2003/role/disclosureRef
-Topic 280
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Reference 11: http://www.xbrl.org/2003/role/disclosureRef
-Topic 606
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-URI https://asc.fasb.org//1943274/2147479806/606-10-50-4

+ Details