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Pension Plans and Postretirement Benefits (Narrative) (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Mar. 29, 2015
Jan. 01, 2017
Jan. 03, 2016
Dec. 28, 2014
Dec. 29, 2013
Defined Benefit Plan Disclosure [Line Items]          
Net periodic pension expense     $ 2.0 $ 1.7 $ 16.6
Curtailment $ 1.2        
Amount recoverable from government contract due to US government cost accounting standards     13.8 13.8 14.5
Pretax contribution         83.0
Employer contributions to 401(k) plans     10.1 9.5 9.1
Non-cash reduction to stockholders' equity     232.3 227.3  
Deferred tax on non-cash reductions to stockholders' equity     $ 3.0 56.2  
Assumed rate of increase in the per capita cost of covered benefits     7.00%    
Ultimate health care cost trend rate, 2020 and thereafter     5.00%    
Effect of one percentage point increase in assumed health care cost trend rates on annual service and interest costs     $ 0.1    
Effect of one percentage point increase in assumed health care cost trend rates on postretirement benefit obligation     0.4    
Effect of one percentage point decrease in assumed health care cost trend rates on annual service and interest costs     0.1    
Effect of one percentage point decrease in assumed health care cost trend rates on postretirement benefit obligation     0.3    
Pension Benefits          
Defined Benefit Plan Disclosure [Line Items]          
Net periodic benefit cost expected to be recognized for the pension plans, net gain (loss)     27.2    
Net periodic benefit cost expected to be recognized for the pension plans, net prior service credit     $ 6.1    
Pension Benefits Domestic Plans          
Defined Benefit Plan Disclosure [Line Items]          
Percentage of employees under defined benefit pension plan     18.00%    
Net periodic pension expense     $ 2.0 (1.7) 16.6
Curtailment     (1.2) 0.0 $ 0.0
Settlements     $ 10.5 $ 32.4  
Expected weighted-average long-term rate of return     8.25% 8.25% 8.25%
Unrecognized net (gain) loss     $ 398.6 $ 379.6  
Unrecognized prior service credit     36.7 27.0  
Pension Benefits Foreign Plans          
Defined Benefit Plan Disclosure [Line Items]          
Net periodic pension expense     1.0 0.4 $ 0.9
Curtailment     0.0 0.0 0.0
Unrecognized net (gain) loss     13.0 12.9  
Unrecognized prior service credit     0.3 0.1  
Postretirement Plans          
Defined Benefit Plan Disclosure [Line Items]          
Net periodic pension expense     0.3 (0.1) $ (0.2)
Net periodic benefit cost expected to be recognized for the pension plans, net gain (loss)     0.3    
Net periodic benefit cost expected to be recognized for the pension plans, net prior service credit     0.1    
Unrecognized net (gain) loss     (4.2) $ (3.1)  
Unrecognized prior service credit     $ 0.1    
Equity instruments | Pension Benefits Domestic Plans          
Defined Benefit Plan Disclosure [Line Items]          
Target allocation of plan assets     70.00%    
Target allocation of plan assets, minimum     45.00%    
Target allocation of plan assets, maximum     75.00%    
Equity instruments | Pension Benefits Foreign Plans          
Defined Benefit Plan Disclosure [Line Items]          
Target allocation of plan assets     60.00%    
Fixed income instruments | Pension Benefits Domestic Plans          
Defined Benefit Plan Disclosure [Line Items]          
Target allocation of plan assets     30.00%    
Debt Securities and Other | Pension Benefits Foreign Plans          
Defined Benefit Plan Disclosure [Line Items]          
Target allocation of plan assets     40.00%    
Scenario, Forecast | Pension Benefits Domestic Plans          
Defined Benefit Plan Disclosure [Line Items]          
Expected weighted-average long-term rate of return   8.00%      
Minimum | Pension Benefits Foreign Plans          
Defined Benefit Plan Disclosure [Line Items]          
Expected weighted-average long-term rate of return     1.80% 3.00% 3.00%
Minimum | Scenario, Forecast | Pension Benefits Foreign Plans          
Defined Benefit Plan Disclosure [Line Items]          
Expected weighted-average long-term rate of return   1.40%      
Maximum | Pension Benefits Foreign Plans          
Defined Benefit Plan Disclosure [Line Items]          
Expected weighted-average long-term rate of return     6.40% 6.40% 5.50%
Maximum | Scenario, Forecast | Pension Benefits Foreign Plans          
Defined Benefit Plan Disclosure [Line Items]          
Expected weighted-average long-term rate of return   6.50%