Fair Value Measurements - Schedule of Assets Measured at Fair Value on a Recurring Basis (Details) - USD ($) $ in Thousands	Feb. 25, 2023	Aug. 27, 2022
Assets:
Short-term investments	$ 101,000	$ 0
Fair Value, Measurements, Recurring
Assets:
Cash equivalents	34,923	197,121
Short-term investments	101,000
Pension plan assets	3,106	3,291
Non-qualified deferred compensation plan assets	1,823	1,263
Foreign currency forward contracts	232	83
Total assets at fair value	141,084	201,758
Fair Value, Measurements, Recurring | Level 1
Assets:
Cash equivalents	34,923	197,121
Short-term investments	0
Pension plan assets	0	0
Non-qualified deferred compensation plan assets	0	0
Foreign currency forward contracts	0	0
Total assets at fair value	34,923	197,121
Fair Value, Measurements, Recurring | Level 2
Assets:
Cash equivalents	0	0
Short-term investments	101,000
Pension plan assets	3,106	3,291
Non-qualified deferred compensation plan assets	1,823	1,263
Foreign currency forward contracts	232	83
Total assets at fair value	106,161	4,637
Fair Value, Measurements, Recurring | Level 3
Assets:
Cash equivalents	0	0
Short-term investments	0
Pension plan assets	0	0
Non-qualified deferred compensation plan assets	0	0
Foreign currency forward contracts	0	0
Total assets at fair value	$ 0	$ 0