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Stock-Based Compensation (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Mar. 04, 2023
Feb. 26, 2022
Mar. 04, 2023
Feb. 26, 2022
Stock-Based Compensation [Abstract]        
Stock-based compensation expense $ 4.8 $ 4.9 $ 15.7 $ 27.0
Related income tax effect $ 1.2 $ 1.2 $ 3.8 $ 6.6