Revenue and Customer Contract Balances - Summary of Net Sales by Products and Services and Gross Amounts Billed for Services (Details) - USD ($) $ in Thousands	3 Months Ended	6 Months Ended
Feb. 24, 2023	Feb. 25, 2022	Feb. 24, 2023	Feb. 25, 2022
Revenue from Contract with Customer [Abstract]
Cost of materials billed in connection with logistics services	$ 143,984	$ 339,715	$ 521,735	$ 675,990

Cost of purchased materials associated with service.

No definition available.

Name:	sgh_CostOfPurchasedMaterialsAssociatedWithService
Namespace Prefix:	sgh_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration