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Commitments and Contingencies - Additional Information (Details)
BRL in Millions
3 Months Ended 9 Months Ended
May 26, 2017
USD ($)
May 27, 2016
USD ($)
May 26, 2017
USD ($)
May 27, 2016
USD ($)
May 26, 2017
BRL
Aug. 26, 2016
USD ($)
Aug. 26, 2016
BRL
Dec. 12, 2013
USD ($)
Dec. 12, 2013
BRL
Feb. 23, 2012
USD ($)
Feb. 23, 2012
BRL
Loss Contingencies [Line Items]                      
Rental expense $ 700,000 $ 600,000 $ 2,100,000 $ 1,700,000              
Provision for any potential loss 0   0                
SMART Brazil                      
Loss Contingencies [Line Items]                      
Tax assessment amount $ 4,400,000   $ 4,400,000   BRL 14.2 $ 4,100,000 BRL 13.3 $ 1,100,000 BRL 3.6 $ 36,600,000 BRL 117.0
Incorrect product classification code, import duty                   0.00% 0.00%
Percentage of recovery of import duty on product classification                   8.00% 8.00%
Administrative penalty amount                   $ 1,900,000 BRL 6.0
Percentage of administrative penalty               1.00% 1.00%    
SMART Brazil | DRAM                      
Loss Contingencies [Line Items]                      
Percentage of import duty on product classification               0.00% 0.00%    
SMART Brazil | Flash                      
Loss Contingencies [Line Items]                      
Percentage of import duty on product classification               0.00% 0.00%