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Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2015
Sep. 30, 2015
Jun. 30, 2015
Mar. 31, 2015
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2015
Dec. 31, 2014
Dec. 31, 2013
Income Tax Information [Line Items]                      
Foreign tax credit carryforward associated with legal restructuring $ 108.1               $ 108.1    
Net U.S. cash tax liability 8.6               8.6    
Earnings before income taxes and the provision for income taxes                      
Earnings before income taxes - U.S.                 125.6 $ 218.8 $ 136.2
Earnings before income taxes - Non-U.S.                 801.2 761.3 733.1
Earnings before income taxes and noncontrolling interest 196.6 $ 232.8 $ 237.6 $ 259.8 $ 214.7 $ 244.9 $ 285.2 $ 235.3 926.8 980.1 869.3
Current:                      
Federal                 32.5 25.7 27.7
State                 (4.3) 3.9 2.6
Foreign                 228.3 220.8 211.1
Total current                 256.5 250.4 241.4
Deferred:                      
Federal                 31.8 66.2 (2.3)
State                 2.6 (1.2) (7.3)
Foreign                 (10.5) (22.8) (13.5)
Total deferred                 23.9 42.2 (23.1)
Provision for income taxes $ 61.2 $ 66.9 $ 80.2 $ 72.1 $ 67.3 $ 71.9 $ 85.3 $ 68.1 $ 280.4 $ 292.6 $ 218.3
Effective tax rate                 30.30% 29.90% 25.10%
U.S. Federal                      
Income Tax Information [Line Items]                      
Foreign tax credit carryforwards                 $ 142.6    
Remy International Inc. [Member] | U.S. Federal                      
Income Tax Information [Line Items]                      
Foreign tax credit carryforwards                 $ 26.0