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Stock-Based Compensation (Details) - USD ($)
$ in Millions
3 Months Ended 9 Months Ended
Mar. 02, 2024
Mar. 04, 2023
Mar. 02, 2024
Mar. 04, 2023
Stock-Based Compensation [Abstract]        
Stock-based compensation expense $ 5.4 $ 4.8 $ 17.1 $ 15.7
Related income tax effect $ 1.3 $ 1.2 $ 4.1 $ 3.8