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Stock-Based Compensation Plans (Narrative) (Details) - USD ($)		12 Months Ended
	Oct. 10, 2019	Aug. 29, 2020	Aug. 31, 2019	Aug. 25, 2018	Aug. 26, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Employee-related Liabilities, Current			$ 20,328,000	$ 29,350,000
Incentive Compensation Plan 2019 [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Number of shares authorized			4,100,000.0
Employee Stock Purchase Plan
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Share-based Compensation Arrangement by Share-based Payment Award, Discount from Market Price, Offering Date			15.00%
Stock Issued During Period, Shares, Employee Stock Purchase Plans			30,956	2,760
Term of sale restriction period after grant			1 year
Employee-related Liabilities, Current			$ 200,000	$ 100,000
Time-based share awards
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Employee Service Share-based Compensation, Nonvested Awards, Compensation Not yet Recognized, Share-based Awards Other than Options			$ 3,300,000
Unrecognized compensation expense, period of recognition			9 months
Total fair value of awards vested			$ 6,600,000	$ 7,100,000	$ 4,900,000
Shares granted			152,152
Performance-based share award
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Employee Service Share-based Compensation, Nonvested Awards, Compensation Not yet Recognized, Share-based Awards Other than Options			$ 2,500,000
Unrecognized compensation expense, period of recognition			1 year 1 month
Shares granted			80,207
Stock options
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Unrecognized compensation expense, period of recognition			11 months
Aggregate intrinsic value of options outstanding			$ 350,400
Unrecognized compensation expense related to stock options			$ 1,300,000
Weighted average remaining contractual life for outstanding options			8 years 3 months
Restricted Stock Units (RSUs) [Member] | Subsequent Event [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Closing price of common stock on grant date	$ 37.33
Restricted Stock Units (RSUs) [Member] | Subsequent Event [Member] | Forecasted stock-based comp expense [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Stock-based compensation expense		$ 1,500,000
Restricted Stock Units (RSUs) [Member] | Key Management [Member] | Subsequent Event [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]
Shares granted	81,872
Shares granted, value	$ 3,100,000

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- Definition

Represents the expense recognized during the period arising from equity-based compensation arrangements (for example, shares of stock, unit, stock options or other equity instruments) with employees, directors and certain consultants qualifying for treatment as employees.

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Total of the carrying values as of the balance sheet date of obligations incurred through that date and payable for obligations related to services received from employees, such as accrued salaries and bonuses, payroll taxes and fringe benefits. Used to reflect the current portion of the liabilities (due within one year or within the normal operating cycle if longer).

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Weighted average period over which unrecognized compensation is expected to be recognized for equity-based compensation plans, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Unrecognized cost of unvested share-based awards, other than options, awarded to employees as compensation.

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Discount rate from fair value on offering date that participants pay for shares.

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The number of grants made during the period on other than stock (or unit) option plans (for example, phantom stock or unit plan, stock or unit appreciation rights plan, performance target plan).

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Fair value of share-based awards for which the grantee gained the right by satisfying service and performance requirements, to receive or retain shares or units, other instruments, or cash.

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Amount by which the current fair value of the underlying stock exceeds the exercise price of options outstanding.

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Weighted average remaining contractual term for option awards outstanding, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days.

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Value, before forfeitures, of stock or other type of equity granted of any equity-based compensation plan other than an employee stock ownership plan (ESOP).

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