Stock Based Compensation (Summary of Equity Award Activity) (Details)	6 Months Ended
	Dec. 02, 2023 $ / shares shares
Share-based Compensation Arrangement by Share-based Payment Award, Non-Option Equity Instruments, Outstanding [Roll Forward]
Number of Shares, Outstanding, Beginning Balance (in shares) | shares	294,140
Number of Shares, Vested (in shares) | shares	(305)
Number of Shares, Forfeited (in shares) | shares	(1,329)
Number of Shares, Outstanding, Ending Balance (in shares) | shares	292,506
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Weighted Average Grant Date Fair Value [Abstract]
Weighted Average Grant Date Fair Value, Outstanding, Beginning Balance (in dollars per share) | $ / shares	$ 43.72
Weighted Average Grant Date Fair Value, Vested (in dollars per share) | $ / shares	37.70
Weighted Average Grant Date Fair Value, Forfeited (in dollars per share) | $ / shares	44.68
Weighted Average Grant Date Fair Value, Outstanding, Ending Balance (in dollars per share) | $ / shares	$ 43.72