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Segment Information - Segment Reporting, by Products and Services (Details) - USD ($)
$ in Millions
 3 Months Ended 12 Months Ended
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2016
Sep. 30, 2016
Jun. 30, 2016
Mar. 31, 2016
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Net Sales from External Customer [Line Items]                      
Net sales $ 3,838.6 $ 4,033.9 $ 3,994.4 $ 3,324.7 $ 3,492.4 $ 3,708.2 $ 3,664.6 $ 3,116.7 $ 15,191.5 $ 13,981.9 $ 12,988.7
Percentage of Total Net Sales                 100.00% 100.00% 100.00%
Total Hardware                      
Net Sales from External Customer [Line Items]                      
Net sales                 $ 11,941.9 $ 10,987.6 $ 10,289.4
Percentage of Total Net Sales                 78.70% 78.60% 79.10%
Notebooks/Mobile Devices                      
Net Sales from External Customer [Line Items]                      
Net sales                 $ 3,490.9 $ 2,921.6 $ 2,537.3
Percentage of Total Net Sales                 23.10% 20.90% 19.50%
Netcomm Products                      
Net Sales from External Customer [Line Items]                      
Net sales                 $ 2,042.9 $ 1,958.2 $ 1,915.0
Percentage of Total Net Sales                 13.40% 14.00% 14.70%
Desktops                      
Net Sales from External Customer [Line Items]                      
Net sales                 $ 1,159.4 $ 1,050.0 $ 965.6
Percentage of Total Net Sales                 7.60% 7.50% 7.40%
Video                      
Net Sales from External Customer [Line Items]                      
Net sales                 $ 1,076.9 $ 962.1 $ 853.8
Percentage of Total Net Sales                 7.10% 6.90% 6.60%
Enterprise and Data Storage (Including Drives)                      
Net Sales from External Customer [Line Items]                      
Net sales                 $ 1,071.5 $ 1,053.1 $ 1,067.2
Percentage of Total Net Sales                 7.10% 7.50% 8.20%
Other Hardware                      
Net Sales from External Customer [Line Items]                      
Net sales                 $ 3,100.3 $ 3,042.6 $ 2,950.5
Percentage of Total Net Sales                 20.40% 21.80% 22.70%
Software                      
Net Sales from External Customer [Line Items]                      
Net sales                 $ 2,540.1 $ 2,389.3 $ 2,152.3
Percentage of Total Net Sales                 16.70% 17.10% 16.60%
Services                      
Net Sales from External Customer [Line Items]                      
Net sales                 $ 611.3 $ 575.1 $ 467.7
Percentage of Total Net Sales                 4.00% 4.10% 3.60%
Other                      
Net Sales from External Customer [Line Items]                      
Net sales                 $ 98.2 $ 29.9 $ 79.3
Percentage of Total Net Sales                 0.60% 0.20% 0.70%