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Stockholders' Equity (Details Textual) (USD $)
Share data in Millions, except Per Share data, unless otherwise specified
1 Months Ended 9 Months Ended 9 Months Ended 9 Months Ended
Jul. 28, 2013
Apr. 18, 2012
Mar. 31, 2013
Sep. 29, 2013
Sep. 30, 2012
Jan. 25, 2012
Sep. 29, 2013
Stock Options [Member]
Sep. 29, 2013
Performance Stock Units [Member]
May 16, 2014
Warrant [Member]
Dec. 30, 2007
Warrant [Member]
Sep. 29, 2013
Employee Stock Purchase Plan [Member]
Sep. 29, 2013
2005 Illumina, Solexa, and Verinata Plans [Member]
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]                        
Number of additional shares authorized                       5.0
Total shares available for grant (in shares)                     15.0 7.6
Stock options exercisable (in shares)             5.1          
Stock options exercisable outstanding weighted average exercise price per share (in dollars per share)             $ 30.49          
Percentage of performance stock award issuable, minimum               50.00%        
Percentage of performance stock award issuable, maximum               150.00%        
Performance stock award, performance period               3 years        
Specified percentage of the fair market value of the common stock on the first or last day of the offering period which is lower at which stock is purchased       85.00%                
Total shares issued under ESPP (in shares)                     0.4  
Number of shares warrants outstanding entitled to purchase (in shares)       15.4           18.3    
Exercise price of warrants held by hedging counter parties (in dollars per share)                   31.435    
Number of warrants settled 3.0                      
Amount paid to settle warrants $ 125,000,000                      
Warrant expiration period (in days)                 40 days      
Stock repurchase program, authorized amount   250,000,000                    
Number of shares repurchased       0.9                
Payments for shares repurchased       $ 50,020,000 $ 52,509,000              
Number of preferred share right declared as a dividend           1            
Stockholder rights plan expiration date     Mar. 27, 2013