Income Taxes - Schedule of Deferred Tax Assets and Liabilities (Details) - USD ($) $ in Millions	May 31, 2025	Jun. 01, 2024
Deferred tax assets:
Compensation-related accruals	$ 19.2	$ 16.5
Capitalized research and experimental costs	40.5	32.4
Accrued pension and post-retirement benefit obligations	0.3	1.3
Deferred revenue	8.2	6.1
Inventory related	13.5	13.4
Other reserves and accruals	10.5	9.4
Warranty	16.3	16.8
State and local tax net operating loss carryforwards and credits	4.3	5.7
Federal net operating loss carryforward	0.9	3.0
Federal and state nondeductible interest expense carryforward	26.0	18.7
Foreign tax net operating loss carryforwards and credits	22.5	18.0
Lease liability	107.0	96.6
Other	5.5	6.4
Subtotal	274.7	244.3
Valuation allowance	(16.9)	(15.4)
Total	257.8	228.9
Deferred tax liabilities:
Book basis in property in excess of tax basis	48.5	55.1
Intangible assets	178.5	189.7
Interest rate swap	6.5	15.2
Right of use lease assets	92.5	85.3
Withholding taxes on planned repatriation of foreign earnings	3.5	3.7
Other	2.6	4.4
Total	$ 332.1	$ 353.4

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-Topic 740
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 6
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482685/740-10-50-6

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Amount, before allocation of valuation allowance, of deferred tax asset attributable to deductible temporary difference from in-process research and development cost acquired in business combination or from joint venture formation or both.

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Amount before allocation of valuation allowances of deferred tax asset attributable to deductible domestic operating loss carryforwards. Excludes state and local operating loss carryforwards.

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Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences from reserves and accruals.

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Amount before allocation of valuation allowances of deferred tax asset attributable to deductible temporary differences from warranty reserves.

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Amount of deferred tax assets for which it is more likely than not that a tax benefit will not be realized.

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Amount of deferred tax liability attributable to taxable temporary differences from property, plant, and equipment.

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Amount of deferred tax liability attributable to taxable temporary differences from undistributed earnings of subsidiary and other recognized entity not within country of domicile. Includes, but is not limited to, other basis differences.

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