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Taxes Based on Income (Details) - USD ($)
$ in Millions
3 Months Ended
Apr. 01, 2017
Apr. 02, 2016
Taxes Based on Income    
Income before taxes $ 135.9 $ 123.5
Provision for income taxes $ 23.7 $ 33.9
Effective tax rate (as a percent) 17.40% 27.40%
Tax benefits due to decreases in certain tax reserves as a result of closing tax years $ 1.5 $ 2.6
Net tax discrete benefit corresponding to the adoption of an accounting guidance related to stock-based payments 12.7  
Net tax benefit related to changes in the effective tax rates in certain foreign municipalities   1.6
Tax effect of the tax deductions in excess of compensation cost related to the exercise of nonqualified stock options and vesting of other stock-based compensation awards recognized in capital in excess of par value   $ 6.9
Reasonably possible decrease in unrecognized tax benefits from continuing operations during next 12 months $ 28.0