Fair Value Measurements - Schedule of Assets or Liabilities Measured at Fair Value on a Recurring Basis (Details) - USD ($) $ in Thousands	Aug. 31, 2024	Aug. 26, 2023
Assets:
Short-term investments	$ 13,505	$ 10,157
Fair Value, Measurements, Recurring
Assets:
Short-term investments	13,505	10,157
Pension plan assets	3,108	2,978
Non-qualified deferred compensation plan assets	3,295	2,024
Foreign currency forward contracts	117	216
Total assets at fair value	20,025	15,375
Liabilities:
Non-qualified deferred compensation plan liability	1,605	480
Total liabilities at fair value	1,605	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	13,505	10,157
Pension plan assets	3,108	2,978
Non-qualified deferred compensation plan assets	3,295	2,024
Foreign currency forward contracts	117	216
Total assets at fair value	20,025	15,375
Liabilities:
Non-qualified deferred compensation plan liability	1,605	480
Total liabilities at fair value	1,605	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