Share-Based Compensation and Employee Benefit Plans - Summary of Options Activity (Details) - Amended and Restated 2017 Share Incentive Plan (SGH Plan) - USD ($)	9 Months Ended	12 Months Ended
	May 26, 2017	Aug. 26, 2016
Share Based Compensation Arrangement By Share Based Payment Award [Line Items]
Options outstanding, Shares, Beginning Balance	1,528,000
Options granted, Shares	439,000
Options exercised, Shares	(143,000)
Options cancelled, Shares	(80,000)
Options outstanding, Shares, Ending Balance	1,744,000	1,528,000
Options exercisable, Shares	822,000
Options vested and expected to vest, Shares	1,657,000
Options outstanding, Weighted average per share exercise price, Beginning Balance	$ 10.80
Options granted, Weighted average per share exercise price	14.88
Options exercised, Weighted average per share exercise price	2.38
Options cancelled, Weighted average per share exercise price	11.40
Options outstanding, Weighted average per share exercise price, Ending Balance	12.46	$ 10.80
Options exercisable, Weighted average per share exercise price	11.21
Options vested and expected to vest, Weighted average per share exercise price	$ 12.36
Options outstanding, Average remaining contractual term (years)	7 years 6 months 18 days	7 years 4 months 10 days
Options exercisable, Average remaining contractual term (years)	6 years 11 days
Options vested and expected to vest, Average remaining contractual term (years)	7 years 7 months 24 days
Options outstanding, Aggregate intrinsic value	$ 3,998,000	$ 2,373,000
Options exercisable, Aggregate intrinsic value	3,124,000
Options vested and expected to vest, Aggregate intrinsic value	$ 3,956,000