Summary of Accounting Policies - Additional Information (Details) - USD ($) $ in Millions	3 Months Ended	6 Months Ended
Nov. 30, 2024	Dec. 02, 2023	Nov. 30, 2024	Dec. 02, 2023	Jun. 01, 2024
Summary Of Significant Accounting Policies [Line Items]
Finished goods	$ 94.6		$ 94.6		$ 93.9
Raw material	11.6		11.6		12.2
Work in progress	4.5		4.5		4.0
Inventory valuation reserves	6.1		6.1		6.0
Revenue recognized upon satisfaction of performace obligations	1.2	$ 1.4	$ 2.1	$ 2.9
Weighted average number of years of amortization expense			10 years
Warranty reserves	$ 0.7		$ 0.7		$ 0.7
Maximum
Summary Of Significant Accounting Policies [Line Items]
Services revenue recognized as percentage of aggregate revenue			5.00%

Services revenue recognized as percentage of aggregate revenue.

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Summary of significant accounting policies.

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Weighted average amortization period of finite-lived intangible assets acquired either individually or as part of a group of assets, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 350
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Amount of revenue recognized that was previously included in balance of obligation to transfer good or service to customer for which consideration from customer has been received or is due.

+ References

Reference 1: http://www.xbrl.org/2003/role/disclosureRef
-Topic 606
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Amount before valuation and LIFO reserves of completed merchandise or goods expected to be sold within one year or operating cycle, if longer.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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Amount before valuation and LIFO reserves of raw materials expected to be sold, or consumed within one year or operating cycle, if longer.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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Amount of valuation reserve for inventory.

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Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
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Amount before valuation and LIFO reserves of merchandise or goods in the production process expected to be completed within one year or operating cycle, if longer.

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Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
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Carrying value as of the balance sheet date of obligations incurred through that date and payable for estimated claims under standard and extended warranty protection rights granted to customers.

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Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
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