Stock Based Compensation (Summary of Equity Award Activity) (Details) shares in Thousands	6 Months Ended
	Nov. 27, 2021 $ / 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, Vested (in shares) | shares	(1,359)
Number of Shares, Forfeited (in shares) | shares	(1,460)
Number of Shares, Outstanding, Ending Balance (in shares) | shares	299,328
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, Vested (in dollars per share) | $ / shares	40.34
Weighted Average Grant Date Fair Value, Forfeited (in dollars per share) | $ / shares	37.70
Weighted Average Grant Date Fair Value, Outstanding, Ending Balance (in dollars per share) | $ / shares	$ 39.38