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Goodwill and Other Intangible Assets (Schedule of Intangible Assets) (Details) - USD ($)
3 Months Ended 12 Months Ended
Mar. 31, 2020
Dec. 31, 2019
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, accumulated amortization $ (125,450,000) $ (120,625,000)
Intangible assets, gross 371,000,000 371,000,000
Intangible assets, net 245,550,000 250,375,000 [1]
Gentex Patents    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross 37,496,822 37,328,963
Finite-lived intangible assets, accumulated amortization (23,003,239) (22,491,010)
Finite-lived intangible assets, net 14,493,583 14,837,953
Homelink Technology    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross 180,000,000 180,000,000
Finite-lived intangible assets, accumulated amortization (97,500,000) (93,750,000)
Finite-lived intangible assets, net $ 82,500,000 $ 86,250,000
Finite-lived intangible asset, useful life (in years) 12 years 12 years
Existing Customer Platforms    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, gross $ 43,000,000 $ 43,000,000
Finite-lived intangible assets, accumulated amortization (27,950,000) (26,875,000)
Finite-lived intangible assets, net $ 15,050,000 $ 16,125,000
Finite-lived intangible asset, useful life (in years) 10 years 10 years
Patents and Other Intangible Assets    
Finite-Lived Intangible Assets [Line Items]    
Finite-lived intangible assets, accumulated amortization $ (148,453,239) $ (143,116,010)
Intangible assets, gross 408,496,822 408,328,963
Intangible assets, net 260,043,583 265,212,953
HomeLink Trade Names and Trademarks    
Finite-Lived Intangible Assets [Line Items]    
Indefinite-lived intangible assets 52,000,000 52,000,000
Exclusive Licensing Agreement    
Finite-Lived Intangible Assets [Line Items]    
Indefinite-lived intangible assets $ 96,000,000 $ 96,000,000
[1] The condensed consolidated balance sheet at December 31, 2019 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.