Stock-Based Compensation - Summary of Performance Share Unit Activity (Details) shares in Thousands	6 Months Ended
	Mar. 04, 2023 $ / shares shares
Performance share units
Shares
Beginning balance (in shares)	88
Granted (in shares)	51
PSU adjustment (in shares)	4
Vested (in shares)	(26)
Canceled/Forfeited (in shares)	(1)
Ending balance (in shares)	116
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	83.75
Ending balance (in usd per share) | $ / shares	$ 81.84
Target allocation grant percentage	116.00%
Incremental Dividend Rights Performance Stock Units
Shares
Ending balance (in shares)	10