Stock-Based Compensation - Summary of Performance Share Unit Activity (Details) shares in Thousands	9 Months Ended
	Jun. 03, 2023 $ / shares shares
Performance share units (1)
Shares
Beginning balance (in shares)	88
Granted (in shares)	51
PSU adjustment (in shares)	4
Vested (in shares)	(26)
Canceled/Forfeited (in shares)	(3)
Ending balance (in shares)	114
Weighted-Average Grant Date Fair Value
Beginning balance (in usd per share) | $ / shares	$ 80.04
Granted (in usd per share) | $ / shares	82.16
PSU adjustment (in usd per share) | $ / shares	76.32
Vested (in usd per share) | $ / shares	76.32
Canceled/Forfeited (in usd per share) | $ / shares	82.95
Ending balance (in usd per share) | $ / shares	$ 81.83
Target allocation grant percentage	116.00%
Incremental Dividend Rights Performance Stock Units
Shares
Ending balance (in shares)	11