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Earnings per Share and Equity (Narrative) (Details) (USD $)
In Millions, except Share data, unless otherwise specified
3 Months Ended
Apr. 03, 2015
Mar. 28, 2014
Dec. 31, 2014
Dividends Payable [Line Items]      
Anti-dilutive shares 1,000,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount 7,700,000us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount  
Payments of tax withholding for restricted shares $ 11.2us-gaap_PaymentsRelatedToTaxWithholdingForShareBasedCompensation $ 4.5us-gaap_PaymentsRelatedToTaxWithholdingForShareBasedCompensation  
Common stock withheld underlying restricted stock units 900,000onnn_CommonStockWithheldUnderlyingRestrictedStockUnits    
Treasury stock, shares, reissued or retired during period 0onnn_TreasuryStockSharesReissuedOrRetiredDuringPeriod    
Non-controlling interest in consolidated subsidiary 21.6us-gaap_MinorityInterest   20.9us-gaap_MinorityInterest
Net Income (Loss) attributable to non-controlling interests $ 0.7us-gaap_NetIncomeLossAttributableToNoncontrollingInterest $ 0.2us-gaap_NetIncomeLossAttributableToNoncontrollingInterest  
2.625% Notes, Series B      
Dividends Payable [Line Items]      
Debt Instrument, Interest Rate, Stated Percentage 2.625%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_LongtermDebtTypeAxis
= onnn_SeriesBTwoPointSixTwoFivePercentConvertibleSeniorSubordinatedNotesMember
  2.625%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_LongtermDebtTypeAxis
= onnn_SeriesBTwoPointSixTwoFivePercentConvertibleSeniorSubordinatedNotesMember