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Employee Pension and Other Benefit Plans (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Aug. 01, 2015
Jan. 02, 2016
Dec. 27, 2014
Jan. 02, 2016
Dec. 27, 2014
Employee Defined Benefit Plans          
Employer contributions       $ 2.3  
Components of the net periodic cost for the pension and benefits plans          
Cash outlays expected during fiscal 2016       5.9  
Pension Benefit Plans          
Components of the net periodic cost for the pension and benefits plans          
Service cost   $ 0.1 $ 0.0 0.2 $ 0.1
Interest cost   0.7 1.0 1.5 2.0
Expected return on plan assets   (0.4) (0.4) (0.8) (0.8)
Recognized actuarial losses (gains)   0.1 0.1 0.3 0.2
Net periodic benefit cost   $ 0.5 $ 0.7 1.2 $ 1.5
Switzerland | Foreign Pension Plan          
Employee Defined Benefit Plans          
Liabilities transferred to Lumentum $ 6.7        
Assets transferred to Lumentum $ 4.6        
U.K. | Foreign Pension Plan          
Employee Defined Benefit Plans          
Employer contributions       $ 0.7