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Stock-Based Compensation - Schedule of Pre-Tax Compensation Expense and Related Tax Benefits (Details) - USD ($) $ in Millions	12 Months Ended
	Jun. 03, 2023	May 28, 2022	May 29, 2021
Share-based Compensation Arrangement by Share-based Payment Award
Stock-based compensation	$ 20.2	$ 31.4	$ 9.0
Tax benefit	4.9	7.7	2.0
Employee stock purchase program
Share-based Compensation Arrangement by Share-based Payment Award
Stock-based compensation	0.5	0.5	0.4
Stock options
Share-based Compensation Arrangement by Share-based Payment Award
Stock-based compensation	5.7	3.6	3.7
Restricted stock units
Share-based Compensation Arrangement by Share-based Payment Award
Stock-based compensation	9.4	15.3	4.1
Performance share units
Share-based Compensation Arrangement by Share-based Payment Award
Stock-based compensation	3.5	2.8	0.8
Restricted stock awards
Share-based Compensation Arrangement by Share-based Payment Award
Stock-based compensation	$ 1.1	$ 9.2	$ 0.0

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Amount of tax benefit for recognition of expense of award under share-based payment arrangement.

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