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Consolidated Statements of Operations and Comprehensive Income - USD ($)
shares in Millions, $ in Millions
 3 Months Ended 9 Months Ended
Sep. 28, 2018
Sep. 29, 2017
Sep. 28, 2018
Sep. 29, 2017
Income Statement [Abstract]        
Revenue $ 1,541.7 $ 1,390.9 $ 4,375.2 $ 4,165.6
Cost of revenue (exclusive of amortization shown below) 945.1 866.9 2,706.2 2,646.5
Gross profit 596.6 524.0 1,669.0 1,519.1
Operating expenses:        
Research and development 166.2 151.0 488.5 436.7
Selling and marketing 83.1 78.6 242.6 235.6
General and administrative 73.3 68.9 218.8 213.9
Amortization of acquisition-related intangible assets 28.0 37.3 83.3 95.0
Restructuring, asset impairments and other, net 4.4 9.7 8.0 16.1
Goodwill and intangible asset impairment 0.0 1.5 3.3 7.7
Total operating expenses 355.0 347.0 1,044.5 1,005.0
Operating income 241.6 177.0 624.5 514.1
Other income (expense), net:        
Interest expense (31.2) (34.9) (95.3) (108.0)
Interest income 1.3 0.7 3.3 1.8
Loss on debt refinancing and prepayment (0.6) (6.7) (4.6) (32.9)
Gain on divestiture of business 0.4 12.5 5.0 12.5
Licensing income 1.0 21.5 32.9 45.4
Other income (expense) 3.5 (1.8) 0.5 (6.4)
Other income (expense), net (25.6) (8.7) (58.2) (87.6)
Income before income taxes 216.0 168.3 566.3 426.5
Income tax provision (48.9) (59.4) (102.4) (144.5)
Net income 167.1 108.9 463.9 282.0
Less: Net income attributable to non-controlling interest (0.2) (0.2) (2.1) (1.2)
Net income attributable to ON Semiconductor Corporation 166.9 108.7 461.8 280.8
Comprehensive income, net of tax:        
Net income 167.1 108.9 463.9 282.0
Foreign currency translation adjustments (0.7) (0.2) 0.2 6.9
Effects of cash flow hedges 0.1 0.2 4.9 (0.5)
Other comprehensive income (loss), net of tax (0.6) 0.0 5.1 6.4
Comprehensive income 166.5 108.9 469.0 288.4
Comprehensive income attributable to non-controlling interest (0.2) (0.2) (2.1) (1.2)
Comprehensive income attributable to ON Semiconductor Corporation $ 166.3 $ 108.7 $ 466.9 $ 287.2
Net income per common share attributable to ON Semiconductor Corporation:        
Basic (in dollars per share) $ 0.39 $ 0.26 $ 1.08 $ 0.67
Diluted (in dollars per share) $ 0.38 $ 0.25 $ 1.05 $ 0.66
Weighted-average common shares outstanding:        
Basic (in shares) 425.5 422.2 426.1 421.0
Diluted (in shares) 435.3 427.5 441.2 426.5