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Note 11 - Stock-Based Compensation Plans (Details Textual)
$ / shares in Units, $ in Thousands, shares in Millions
1 Months Ended 3 Months Ended 12 Months Ended
May 31, 2012
shares
May 31, 2012
shares
Apr. 03, 2021
Jun. 27, 2020
Mar. 28, 2020
USD ($)
Dec. 31, 2022
USD ($)
$ / shares
shares
Jan. 01, 2022
USD ($)
$ / shares
Jan. 02, 2021
USD ($)
$ / shares
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period (Year)           4 years    
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period, Weighted Average Grant Date Fair Value (in dollars per share) | $ / shares           $ 15,250,000 $ 13,040,000.00 $ 6,620,000
Share-based Payment Arrangement, Nonvested Award, Excluding Option, Cost Not yet Recognized, Amount           $ 0    
Share-Based Payment Arrangement, Expense           55,530 $ 46,475 $ 40,372
Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Exercises in Period, Intrinsic Value           24,300 44,700 21,500
Awards with Market Condition or Performance Condition [Member]                
Share-Based Payment Arrangement, Expense           1,500 1,200 1,000
Share-Based Payment Arrangement, Option [Member]                
Share-Based Payment Arrangement, Expense           $ 0 1,000 2,000
Restricted Stock Units (RSUs) [Member]                
Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period, Weighted Average Grant Date Fair Value (in dollars per share) | $ / shares           $ 62.23    
Share-based Payment Arrangement, Nonvested Award, Excluding Option, Cost Not yet Recognized, Amount           $ 21,600    
Share-Based Payment Arrangement, Expense         $ 1,800      
Restricted Stock Units (RSUs) [Member] | Minimum [Member]                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage, Based on Market Conditions           250.00%    
Restricted Stock Units (RSUs) [Member] | Maximum [Member]                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage, Based on Market Conditions           200.00%    
Restricted Stock Units (RSUs) [Member] | Chief Executive Officer [Member]                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period (Year)           3 years    
Share-based Payment Arrangement, Nonvested Award, Excluding Option, Cost Not yet Recognized, Amount           $ 81,600    
Share-Based Payment Arrangement, Expense           $ 30,100 21,700 16,600
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage Of Grants Tested Each Year           50.00%    
Restricted Stock Units (RSUs) [Member] | Executive Officer [Member] | Share-Based Payment Arrangement, Tranche One [Member]                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage, Based on Market Conditions         200.00%      
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage Of Market Condition Achieved           75.00%    
Restricted Stock Units (RSUs) [Member] | Executive Officer [Member] | Share-Based Payment Arrangement, Tranche Two [Member]                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage, Based on Market Conditions           100.00%    
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage Of Market Condition Achieved           55.00%    
Restricted Stock Units (RSUs) [Member] | Executive Officer [Member] | Share-Based Payment Arrangement, Tranche Three [Member]                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage Of Market Condition Achieved           25.00%    
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage           0.00%    
Restricted Stock Units (RSUs) [Member] | Executive Officer [Member] | Minimum [Member]                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage, Based on Market Conditions     250.00%          
Restricted Stock Units (RSUs) [Member] | Executive Officer [Member] | Minimum [Member] | TSR Relative To PHLX Semiconductor Sector Index, 75th Percentile [Member]                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage, Based on Market Conditions           250.00%    
Restricted Stock Units (RSUs) [Member] | Executive Officer [Member] | Minimum [Member] | Share-Based Payment Arrangement, Tranche Three [Member]                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage Of Market Condition Achieved           25.00%    
Restricted Stock Units (RSUs) [Member] | Executive Officer [Member] | Maximum [Member]                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage, Based on Market Conditions     200.00%     200.00%    
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage Of Market Condition Achieved           250.00%    
Restricted Stock Units (RSUs) [Member] | Executive Officer [Member] | Maximum [Member] | TSR Relative To PHLX Semiconductor Sector Index, 75th Percentile [Member]                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage, Based on Market Conditions           200.00%    
Restricted Stock Units (RSUs) [Member] | Executive Officer [Member] | Maximum [Member] | Share-Based Payment Arrangement, Tranche One [Member]                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage Of Market Condition Achieved           250.00%    
Restricted Stock Units (RSUs) [Member] | Executive Officer [Member] | Maximum [Member] | Share-Based Payment Arrangement, Tranche Three [Member]                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage Of Market Condition Achieved           75.00%    
Performance Shares [Member] | Share-Based Payment Arrangement, Tranche Five [Member]                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage           40.00%    
Performance Shares [Member] | Share-Based Payment Arrangement, Tranche Six [Member]                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage           70.00%    
Performance Shares [Member] | Executive Officer [Member]                
Share-Based Payment Arrangement, Expense           $ 24,000 $ 22,100 $ 20,800
Performance Shares [Member] | Executive Officer [Member] | Maximum [Member] | TSR Relative To PHLX Semiconductor Sector Index, 75th Percentile [Member]                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage, Based on Market Conditions           200.00%    
Performance Shares Granted in 2018 [Member] | Executive Officer [Member] | Share-Based Payment Arrangement, Tranche One [Member]                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage, Based on Market Conditions       33.30%        
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage Of Market Condition Achieved         75.00%      
Performance Shares Granted in 2018 [Member] | Executive Officer [Member] | Minimum [Member] | Share-Based Payment Arrangement, Tranche One [Member]                
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage, Based on Market Conditions           200.00%    
The2012 ESPP [Member]                
Share-based Compensation Arrangement by Share-based Payment Award, Number of Shares Authorized (in shares) | shares 3.0 3.0            
Share-based Compensation Arrangement By Share-based Payment Award, Maximum, Annual Contribution Per Employee, Percent 10.00%              
Share-based Compensation Arrangement by Share-based Payment Award, Purchase Price of Common Stock, Percent   85.00%            
Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Available for Grant (in shares) | shares           1.0    
The 2013 Incentive Plan [Member]                
Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Available for Grant (in shares) | shares           5.0    
Share-based Compensation Arrangement by Share-based Payment Award, Share Ratio             2.2  
Share-based Compensation Arrangement by Share-based Payment Award, Number Of Shares, Transferred Out (in shares) | shares           2.5