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Business Acquisition Narrative (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended 12 Months Ended
Oct. 01, 2020
Feb. 21, 2020
Feb. 06, 2020
Oct. 04, 2019
May 06, 2019
Oct. 03, 2020
Sep. 28, 2019
Oct. 03, 2020
Sep. 28, 2019
Mar. 28, 2020
Business Acquisition [Line Items]                    
Goodwill, Period Increase (Decrease)               $ (1,459)    
Payments to Acquire Businesses, Net of Cash Acquired               47,520 $ 299,673  
Intangible assets amortization           $ 72,400 $ 56,400 144,470 114,837  
Goodwill           2,639,943   2,639,943   $ 2,614,274
7Hugs [Member]                    
Business Acquisition [Line Items]                    
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net $ (5,400)                  
Business Combination, Consideration Transferred 48,700                  
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Cash and Equivalents 1,000                  
Goodwill 18,500                  
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Deferred Tax Liabilities (1,700)                  
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Intangible Assets, Other than Goodwill $ 37,300                  
7Hugs [Member] | Other operating expense                    
Business Acquisition [Line Items]                    
Business Combination, Integration Related Costs           1,400        
Custom MMIC [Member]                    
Business Acquisition [Line Items]                    
Payments to Acquire Businesses, Gross     $ 86,000              
Business Combination, Contingent Consideration, Liability, Current           10,000   10,000    
Business Combination, Consideration Transferred     $ 91,700              
Cavendish [Member]                    
Business Acquisition [Line Items]                    
Payments to Acquire Businesses, Gross       $ 198,400            
Finite-Lived Intangible Assets, Period Increase (Decrease)               (2,000)    
Business Combination, Step Acquisition, Equity Interest in Acquiree, Fair Value       $ 102,400            
Cavendish [Member] | Other Income [Member]                    
Business Acquisition [Line Items]                    
Business Combination, Step Acquisition, Equity Interest in Acquiree, Remeasurement Gain                   43,000
Active-Semi                    
Business Acquisition [Line Items]                    
Business Combination, Consideration Transferred         $ 307,900          
Decawave [Member]                    
Business Acquisition [Line Items]                    
Business Combination, Consideration Transferred   $ 372,700                
Developed Technology | 7Hugs [Member]                    
Business Acquisition [Line Items]                    
Acquired Finite-lived Intangible Assets, Weighted Average Useful Life 10 years                  
Infrastructure and Defense Products                    
Business Acquisition [Line Items]                    
Goodwill, Period Increase (Decrease)               (508)    
Goodwill           608,334   608,334   608,842
Infrastructure and Defense Products | Custom MMIC [Member]                    
Business Acquisition [Line Items]                    
Goodwill, Period Increase (Decrease)               (600)    
Infrastructure and Defense Products | Active-Semi                    
Business Acquisition [Line Items]                    
Goodwill, Period Increase (Decrease)               100    
Mobile Products                    
Business Acquisition [Line Items]                    
Goodwill, Period Increase (Decrease)               (951)    
Goodwill           2,031,609   2,031,609   $ 2,005,432
Mobile Products | Cavendish [Member]                    
Business Acquisition [Line Items]                    
Goodwill, Period Increase (Decrease)               1,600    
Mobile Products | Decawave [Member]                    
Business Acquisition [Line Items]                    
Goodwill, Period Increase (Decrease)               (2,600)    
Cavendish [Member]                    
Business Acquisition [Line Items]                    
Equity Method Investments             $ 59,400   $ 59,400  
Maximum [Member] | Custom MMIC [Member]                    
Business Acquisition [Line Items]                    
Business Combination, Contingent Consideration, Liability, Current           $ 10,000   $ 10,000