Goodwill and Other Intangible Assets (Details) (USD $)	12 Months Ended					12 Months Ended
	Dec. 31, 2013	Dec. 31, 2012	Dec. 31, 2011	Dec. 31, 2013 Newly acquired and existing patents	Dec. 31, 2012 Newly acquired and existing patents	Dec. 31, 2013 Minimum	Dec. 31, 2013 HomeLink®	Sep. 30, 2013 HomeLink®	Sep. 27, 2013 HomeLink®
Schedule of Finite-Lived and Indefinite-Lived Intangible Assets [Line Items]
Goodwill	$ 307,365,845	$ 0					$ 307,365,845	$ 337,557,061	$ 337,600,000
Goodwill that is expected to be deductible for tax purposes							307,400,000
Finite-lived intangible asset, useful life				11 years		10 years
Accumulated amortization				13,400,000	6,100,000		4,825,000
Amortization expense	7,900,000.0	1,700,000	1,100,000
Amortization expense, 2014	22,000,000
Amortization expense, 2015	22,000,000
Amortization expense, 2016	22,000,000
Amortization expense, 2017	22,000,000
Amortization expense, 2018	$ 22,000,000