Short-Term Borrowings and Long-Term Debt - Schedule of Long Term Debt Instruments (Details) - USD ($) $ in Millions	Sep. 02, 2023	Jun. 03, 2023
Debt Instrument [Line Items]
Supplier financing program	$ 2.4	$ 2.1
Finance lease liability	1.3	0.0
Total debt	1,350.1	1,414.4
Less: Unamortized discount and issuance costs	(15.0)	(15.9)
Less: Current debt	(36.3)	(33.4)
Long-term debt	$ 1,298.8	1,365.1
Term Loan A, due July 2026
Debt Instrument [Line Items]
Interest rate (percent)	7.1955%
Debt securities	$ 365.0	370.0
Term Loan B, due July 2028
Debt Instrument [Line Items]
Interest rate (percent)	7.4455%
Debt securities	$ 614.1	615.6
Syndicated line of credit \| Syndicated revolving line of credit, due July 2026
Debt Instrument [Line Items]
Syndicated revolving line of credit, due July 2026	$ 367.3	$ 426.7

Amount of short-term and long-term debt and lease obligation.

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