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Business Acquisition - Summary of Unaudited Pro Forma Information (Details) - CreeLED Inc.
$ / shares in Units, $ in Thousands
9 Months Ended
May 28, 2021
USD ($)
$ / shares
Business Acquisition [Line Items]  
Net sales | $ $ 1,237,627
Net loss attributable to SGH | $ $ (162,969)
Earnings (loss) per share:  
Basic (in usd per share) | $ / shares $ (3.36)
Diluted (in usd per share) | $ / shares $ (3.36)