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Stock-Based Compensation Plans - Narrative (Details) - USD ($) $ / shares in Units, $ in Thousands		9 Months Ended	12 Months Ended
	Oct. 13, 2020	May 30, 2020	Aug. 28, 2021	Aug. 29, 2020	Aug. 31, 2019	Aug. 25, 2018	Dec. 11, 2018
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Accrued compensation				$ 36,533	$ 20,328
Unrecognized compensation expense related to stock options				$ 1,300
Incentive Compensation Plan 2019
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of shares authorized (in shares)							4,100,000
ESPP
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Discount market price percentage				15.00%
Term of sale restriction period after grant				1 year
Shares purchased through the ESPP (in shares)				21,094	30,956
Accrued compensation				$ 300	$ 200
Time-based
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period				3 years
Unrecognized compensation expense				$ 5,000
Unrecognized compensation expense, period of recognition		9 months 18 days
Total fair value of awards vested				$ 3,300	$ 6,600	$ 7,100
Granted (in shares)				166,440
Vested (in shares)				77,550
Time-based | Director
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period				1 year
Performance-based
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Vesting period				3 years
Unrecognized compensation expense				$ 2,900
Unrecognized compensation expense, period of recognition				10 months 24 days
Total fair value of awards vested				$ 2,400
Granted (in shares)				64,914
Vested (in shares)				65,302	0	0
Stock options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Outstanding options term				10 years
Vesting period				3 years
Unrecognized compensation expense, period of recognition				9 months 18 days
Restricted Stock Units (RSUs) | Subsequent Event
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Closing price of common stock on grant date (in dollars per share)	$ 54.49
Restricted Stock Units (RSUs) | Scenario, Forecast | Subsequent Event
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense			$ 1,800
Restricted Stock Units (RSUs) | Key Management | Subsequent Event
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Granted (in shares)	69,538
Shares granted, value	$ 3,800

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Amount of expense for award under share-based payment arrangement. Excludes amount capitalized.

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