Stock Based Compensation (Summary of Equity Award Activity) (Details)	9 Months Ended
	Feb. 26, 2022 $ / 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	302,147
Number of Shares, Granted (in shares) | shares	113,142
Number of Shares, Vested (in shares) | shares	(90,778)
Number of Shares, Forfeited (in shares) | shares	(3,932)
Number of Shares, Outstanding, Ending Balance (in shares) | shares	320,579
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	$ 39.37
Weighted Average Grant Date Fair Value, Granted (in dollars per share) | $ / shares	41.13
Weighted Average Grant Date Fair Value, Vested (in dollars per share) | $ / shares	42.53
Weighted Average Grant Date Fair Value, Forfeited (in dollars per share) | $ / shares	37.81
Weighted Average Grant Date Fair Value, Outstanding, Ending Balance (in dollars per share) | $ / shares	$ 39.12