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Goodwill and Other Intangible Assets (Details) - USD ($)
3 Months Ended 9 Months Ended
Sep. 30, 2017
Sep. 30, 2016
Sep. 30, 2017
Sep. 30, 2016
Dec. 31, 2016
[1]
Sep. 27, 2013
Schedule of Finite-Lived and Indefinite-Lived Intangible Assets [Line Items]            
Goodwill $ 307,365,845   $ 307,365,845   $ 307,365,845  
Amortization expense, 2017 22,000,000   22,000,000      
Amortization expense, 2018 22,000,000   22,000,000      
Amortization expense, 2019 22,000,000   22,000,000      
Amortization expense, 2020 22,000,000   22,000,000      
Amortization expense, 2021 22,000,000   22,000,000      
HomeLink®            
Schedule of Finite-Lived and Indefinite-Lived Intangible Assets [Line Items]            
Goodwill           $ 307,400,000
Patents and Other Intangible Assets | HomeLink®            
Schedule of Finite-Lived and Indefinite-Lived Intangible Assets [Line Items]            
Amortization expense $ 5,600,000 $ 5,600,000 $ 16,900,000 $ 16,700,000    
[1] Note: The condensed consolidated balance sheet at December 31, 2016 has been derived from the audited financial statements at that date but does not include all of the information and footnotes required by accounting principles generally accepted in the United States for complete financial statements.