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Goodwill and Other Intangible Assets (Details) - USD ($)
12 Months Ended
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Sep. 30, 2013
Schedule of Finite-Lived and Indefinite-Lived Intangible Assets [Line Items]        
Goodwill $ 307,365,845 $ 307,365,845    
Amortization expense 22,400,000 22,500,000 $ 22,500,000  
Patents and Other Intangible Assets        
Schedule of Finite-Lived and Indefinite-Lived Intangible Assets [Line Items]        
Accumulated amortization $ 143,100,000 122,300,000    
Finite-lived intangible asset, useful life 10 years      
Amortization expense, 2020 $ 22,000,000      
Amortization expense, 2021 22,000,000      
Amortization expense, 2022 21,000,000      
Amortization expense, 2023 19,000,000      
Amortization expense, 2024 16,000,000      
HomeLink®        
Schedule of Finite-Lived and Indefinite-Lived Intangible Assets [Line Items]        
Goodwill       $ 307,400,000
Accumulated amortization $ 120,625,000 $ 101,325,000