Fair Value Measurements - Schedule of Assets or Liabilities Measured at Fair Value on a Recurring Basis (Details) - USD ($) $ in Thousands	Feb. 24, 2024	Aug. 26, 2023
Assets:
Short-term investments	$ 11,392	$ 10,157
Fair Value, Measurements, Recurring
Assets:
Short-term investments	11,392	10,157
Pension plan assets	2,925	2,978
Non-qualified deferred compensation plan assets	3,015	2,024
Foreign currency forward contracts	154	216
Total assets at fair value	17,486	15,375
Liabilities:
Non-qualified deferred compensation plan liability	1,108	480
Total liabilities at fair value	1,108	480
Fair Value, Measurements, Recurring | Level 1
Assets:
Short-term investments	0	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
Liabilities:
Non-qualified deferred compensation plan liability	0	0
Total liabilities at fair value	0	0
Fair Value, Measurements, Recurring | Level 2
Assets:
Short-term investments	11,392	10,157
Pension plan assets	2,925	2,978
Non-qualified deferred compensation plan assets	3,015	2,024
Foreign currency forward contracts	154	216
Total assets at fair value	17,486	15,375
Liabilities:
Non-qualified deferred compensation plan liability	1,108	480
Total liabilities at fair value	1,108	480
Fair Value, Measurements, Recurring | Level 3
Assets:
Short-term investments	0	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
Liabilities:
Non-qualified deferred compensation plan liability	0	0
Total liabilities at fair value	$ 0	$ 0