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Income Taxes - Additional Information (Detail) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Mar. 30, 2013
Mar. 31, 2012
Dec. 31, 2012
Income Taxes [Line Items]      
Income tax rate 28.40% 13.70%  
Total gross liability for unrecognized tax benefits $ 55   $ 54
Shared Tax Liabilities description Costs and expenses associated with the management of Shared Tax Liabilities, Distribution Taxes and BHS Tax Liabilities will generally be shared 20% by us, 27.5% by ADT and 52.5% by Tyco.    
Percentage of Shared Tax Liabilities 20.00%    
2012 Tax Sharing Agreement
     
Income Taxes [Line Items]      
Shared Tax Liabilities description Tyco is responsible for the first $500 million of Shared Tax Liabilities. We and ADT will share 42% and 58%, respectively, of the next $225 million of Shared Tax Liabilities. We, ADT and Tyco will share 20%, 27.5% and 52.5%, respectively, of Shared Tax Liabilities above $725 million.    
Next $225 million of Shared Tax Liabilities | 2012 Tax Sharing Agreement
     
Income Taxes [Line Items]      
Percentage of Shared Tax Liabilities 42.00%    
Tax Liabilities above $725 million | 2012 Tax Sharing Agreement
     
Income Taxes [Line Items]      
Percentage of Shared Tax Liabilities 20.00%    
ADT
     
Income Taxes [Line Items]      
Percentage of Shared Tax Liabilities 27.50%    
ADT | Next $225 million of Shared Tax Liabilities | 2012 Tax Sharing Agreement
     
Income Taxes [Line Items]      
Percentage of Shared Tax Liabilities 58.00%    
ADT | Tax Liabilities above $725 million | 2012 Tax Sharing Agreement
     
Income Taxes [Line Items]      
Percentage of Shared Tax Liabilities 27.50%    
Tyco
     
Income Taxes [Line Items]      
Percentage of Shared Tax Liabilities 52.50%    
Tyco | Tax Liabilities above $725 million | 2012 Tax Sharing Agreement
     
Income Taxes [Line Items]      
Percentage of Shared Tax Liabilities 52.50%