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Restructuring and Integration Expense - Schedule of Restructuring Rollforward (Details) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Mar. 04, 2023	Feb. 26, 2022	Mar. 04, 2023	Feb. 26, 2022
Restructuring Reserve [Roll Forward]
Integration Costs	$ 4.6	$ 0.0	$ 19.8	$ 0.0
Severance and Employee Benefit
Restructuring Reserve [Roll Forward]
Beginning balance			0.0
Amounts Paid			(12.8)
Ending balance	7.0		7.0
Severance and Employee Benefit | 2023 Restructuring Plan
Restructuring Reserve [Roll Forward]
Integration Costs	$ 4.6		$ 19.8

X

- Definition

Amount of cash payments made as the result of exit or disposal activities. Excludes payments associated with a discontinued operation or an asset retirement obligation.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 420
-SubTopic 10
-Section 50
-Paragraph 1
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-Section 45
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- Definition

Amount of expenses associated with exit or disposal activities pursuant to an authorized plan. Excludes expenses related to a discontinued operation or an asset retirement obligation.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 420
-SubTopic 10
-Section 45
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- Definition

Carrying amount (including both current and noncurrent portions of the accrual) as of the balance sheet date pertaining to a specified type of cost associated with exit from or disposal of business activities or restructuring pursuant to a duly authorized plan.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 420
-SubTopic 10
-Section 50
-Paragraph 1
-Subparagraph (b)(2)
-URI https://asc.fasb.org/extlink&oid=6394359&loc=d3e17939-110869

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- Definition

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