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Revenue from Contracts with Customers - Contract Assets and Contract Liabilities (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Mar. 04, 2023
Feb. 26, 2022
Mar. 04, 2023
Feb. 26, 2022
Revenue from Contract with Customer [Abstract]        
Contract with customer, liability, net sales $ 114.7 $ 9.9 $ 114.7 $ 9.9