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Net Sales (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Mar. 31, 2020
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2020
Mar. 31, 2019
Mar. 31, 2018
Disaggregation of Revenue [Line Items]                      
Total net sales $ 1,326.4 $ 1,287.4 $ 1,337.8 $ 1,322.6 $ 1,329.8 $ 1,374.7 $ 1,432.5 $ 1,212.5 $ 5,274.2 $ 5,349.5 $ 3,980.8
Payment terms                 30 days    
Distributors                      
Disaggregation of Revenue [Line Items]                      
Total net sales                 $ 2,626.9 2,719.1  
Direct customers                      
Disaggregation of Revenue [Line Items]                      
Total net sales                 2,550.4 2,498.0  
Licensees                      
Disaggregation of Revenue [Line Items]                      
Total net sales                 96.9 132.4  
Microcontrollers                      
Disaggregation of Revenue [Line Items]                      
Total net sales                 2,817.9 2,921.9  
Analog, interface, mixed signal and timing products                      
Disaggregation of Revenue [Line Items]                      
Total net sales                 1,511.1 1,530.7  
Field-programmable gate array products                      
Disaggregation of Revenue [Line Items]                      
Total net sales                 373.5 303.8  
Licensing, memory and other                      
Disaggregation of Revenue [Line Items]                      
Total net sales                 $ 571.7 $ 593.1