Fair Value Measurements - Schedule of Assets or Liabilities Measured at Fair Value on a Recurring Basis (Details) - USD ($) $ in Thousands	Aug. 26, 2023	Aug. 27, 2022
Assets:
Short-term investments	$ 10,157	$ 0
Fair Value, Measurements, Recurring
Assets:
Cash equivalents		197,121
Short-term investments	10,157
Pension plan assets	2,978	3,291
Non-qualified deferred compensation plan assets	2,024	1,263
Foreign currency forward contracts	216	83
Total assets at fair value	15,375	201,758
Liabilities:
Non-qualified deferred compensation plan liability	480	37
Total liabilities at fair value	480	37
Fair Value, Measurements, Recurring | Level 1
Assets:
Cash equivalents		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	0	197,121
Liabilities:
Non-qualified deferred compensation plan liability	0	0
Total liabilities at fair value	0	0
Fair Value, Measurements, Recurring | Level 2
Assets:
Cash equivalents		0
Short-term investments	10,157
Pension plan assets	2,978	3,291
Non-qualified deferred compensation plan assets	2,024	1,263
Foreign currency forward contracts	216	83
Total assets at fair value	15,375	4,637
Liabilities:
Non-qualified deferred compensation plan liability	480	37
Total liabilities at fair value	480	37
Fair Value, Measurements, Recurring | Level 3
Assets:
Cash equivalents		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
Liabilities:
Non-qualified deferred compensation plan liability	0	0
Total liabilities at fair value	$ 0	$ 0