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Income Taxes - Effective Income Tax Rate Reconciliation (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 03, 2023	May 28, 2022	May 29, 2021
Income Tax Disclosure [Abstract]
Income taxes computed at the United States Statutory rate	$ 10.8	$ (1.8)	$ 47.9
State and local income taxes, net of federal income tax benefit	(1.0)	(4.0)	5.6
Non-deductible officers' compensation	0.9	5.3	0.5
Foreign-derived intangible income	(1.7)	0.0	(2.1)
Foreign-based company income	5.1	3.1	2.1
Global intangible low-taxed income	9.4	15.2	7.9
Foreign statutory rate differences	2.3	4.1	2.6
Research and development incentives	(4.0)	(4.8)	(3.2)
Federal return to provision adjustments	(4.1)	(0.6)	(0.4)
Foreign tax credit	(15.6)	(8.8)	(10.3)
Foreign withholding taxes and other miscellaneous foreign taxes	1.2	2.4	1.0
Change in valuation allowance against deferred tax assets	1.3	0.4	(2.1)
Other, net	(0.1)	0.6	(1.2)
Income tax expense	$ 4.5	$ 11.1	$ 48.3
Effective tax rate (percent)	8.80%	(130.10%)	21.20%

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