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Goodwill and Other Intangible Assets (Details) - USD ($)
12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Sep. 30, 2013
Schedule of Finite-Lived and Indefinite-Lived Intangible Assets [Line Items]        
Goodwill $ 307,365,845 $ 307,365,845    
Amortization expense 22,500,000 22,300,000 $ 22,500,000  
Patents and Other Intangible Assets [Member]        
Schedule of Finite-Lived and Indefinite-Lived Intangible Assets [Line Items]        
Accumulated amortization $ 101,000,000 79,200,000    
Finite-lived intangible asset, useful life 10 years      
Amortization expense, 2018 $ 22,000,000      
Amortization expense, 2019 22,000,000      
Amortization expense, 2020 22,000,000      
Amortization expense, 2021 22,000,000      
Amortization expense, 2022 21,000,000      
HomeLink®        
Schedule of Finite-Lived and Indefinite-Lived Intangible Assets [Line Items]        
Goodwill       $ 307,400,000
Accumulated amortization $ 82,025,000 $ 62,725,000