Summary of Changes in Equity Components (Detail) - USD ($) $ in Millions	3 Months Ended		9 Months Ended
	Sep. 30, 2018	Sep. 30, 2017	Sep. 30, 2018	Sep. 30, 2017
Minority Interest [Line Items]
Balance at December 31, 2017	$ 2,007.6	$ 4,112.3	$ 4,169.4	$ 3,926.4
Comprehensive Income:
Net income	118.0	88.2	274.5	358.6
Foreign currency translation	(30.0)	57.9	(134.8)	231.9
Net change in cash flow hedges		(3.9)	1.1	(10.5)
Defined benefit pension plan	0.4	1.3	6.1	3.8
Comprehensive income (loss)	88.4	143.5	146.9	583.8
Stock-based compensation			18.9
Cash dividends declared	(54.1)	(51.8)	(162.5)	(157.4)
Dividends paid to non-controlling interest on subsidiary shares			(2.0)
Distribution of Veoneer	8.4		(2,120.6)
Balance at September 30, 2018	2,053.4	4,209.4	2,053.4	4,209.4
ASU 2014-09
Comprehensive Income:
Adjustment due to adoption			3.3
Common stock
Minority Interest [Line Items]
Balance at December 31, 2017			102.8
Comprehensive Income:
Balance at September 30, 2018	102.8		102.8
Additional paid in capital
Minority Interest [Line Items]
Balance at December 31, 2017			1,329.3
Comprehensive Income:
Balance at September 30, 2018	1,329.3		1,329.3
Retained earnings
Minority Interest [Line Items]
Balance at December 31, 2017			4,079.2
Comprehensive Income:
Net income			281.4
Comprehensive income (loss)			281.4
Cash dividends declared			(162.5)
Distribution of Veoneer			(2,021.9)
Balance at September 30, 2018	2,189.7		2,189.7
Retained earnings | ASU 2014-09
Comprehensive Income:
Adjustment due to adoption			3.3
Retained earnings | ASU 2018-02
Comprehensive Income:
Adjustment due to adoption			10.2
Accumulated other comprehensive (loss) income
Minority Interest [Line Items]
Balance at December 31, 2017			(287.5)
Comprehensive Income:
Foreign currency translation			(134.1)
Net change in cash flow hedges			1.1
Defined benefit pension plan			6.1
Comprehensive income (loss)			(126.9)
Distribution of Veoneer			13.0
Balance at September 30, 2018	(411.6)		(411.6)
Accumulated other comprehensive (loss) income | ASU 2018-02
Comprehensive Income:
Adjustment due to adoption			(10.2)
Treasury stock
Minority Interest [Line Items]
Balance at December 31, 2017			(1,188.7)
Comprehensive Income:
Stock-based compensation			18.9
Balance at September 30, 2018	(1,169.8)		(1,169.8)
Total parent shareholders' equity
Minority Interest [Line Items]
Balance at December 31, 2017	1,994.5	3,859.7	4,035.1	3,677.2
Comprehensive Income:
Net income	117.5	90.8	281.4	364.5
Foreign currency translation	(29.0)	57.1	(134.1)	224.4
Net change in cash flow hedges		(3.9)	1.1	(10.5)
Defined benefit pension plan	0.4	1.3	6.1	3.8
Comprehensive income (loss)	88.9	145.3	154.5	582.2
Stock-based compensation			18.9
Cash dividends declared	(54.1)	(51.8)	(162.5)	(157.4)
Distribution of Veoneer	8.0		(2,008.9)
Balance at September 30, 2018	2,040.4	3,958.6	2,040.4	3,958.6
Total parent shareholders' equity | ASU 2014-09
Comprehensive Income:
Adjustment due to adoption			3.3
Non-controlling interest
Minority Interest [Line Items]
Balance at December 31, 2017	13.1	252.6	134.3	249.2
Comprehensive Income:
Net income	0.5	(2.6)	(6.9)	(5.9)
Foreign currency translation	(1.0)	0.8	(0.7)	7.5
Comprehensive income (loss)	(0.5)	(1.8)	(7.6)	1.6
Dividends paid to non-controlling interest on subsidiary shares			(2.0)
Distribution of Veoneer	0.4		(111.7)
Balance at September 30, 2018	$ 13.0	$ 250.8	$ 13.0	$ 250.8