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Debt (Narratives) (Details)
ZAR in Millions
3 Months Ended 12 Months Ended
Mar. 10, 2017
USD ($)
Dec. 30, 2017
USD ($)
Dec. 30, 2017
USD ($)
Dec. 31, 2016
USD ($)
Jun. 23, 2016
ZAR
Jan. 02, 2016
USD ($)
Jan. 03, 2015
USD ($)
Debt Instrument              
International cash balance   $ 231,244,000 $ 231,244,000 $ 297,330,000   $ 289,275,000 $ 276,261,000
Amortization of debt issuance costs   $ 3,700,000          
Debt instrument, face amount | ZAR         ZAR 20    
Debt instrument, interest rate, effective percentage   10.25% 10.25%        
Long-term Debt   $ 441,200,000 $ 441,200,000 630,900,000      
U.S. revolving line of credit              
Debt Instrument              
Maximum borrowing capacity $ 850,000,000.0            
Net borrowings     4,000,000        
Remaining borrowing capacity   199,800,000 199,800,000        
Interest expense incurred   27,400,000          
Long-term Debt   440,300,000 $ 440,300,000 441,000,000      
U.S. revolving line of credit | Minimum              
Debt Instrument              
Commitment fee (as a percent)     0.50%        
U.S. revolving line of credit | Base rate loans              
Debt Instrument              
Applicable margin based on the Company's consolidated leverage ratio (as a percent)     2.75%        
Minimum principal payments   $ 2,000,000.0 $ 2,000,000.0        
Increments in excess of minimum principal amount     $ 1,000,000.0        
U.S. revolving line of credit | Base rate loans | LIBOR              
Debt Instrument              
Base rate at end of period   1.49% 1.49%        
Basis spread on base rate (as a percent)     1.00%        
U.S. revolving line of credit | Base rate loans | Prime rate              
Debt Instrument              
Base rate at end of period   4.50% 4.50%        
U.S. revolving line of credit | Base rate loans | Federal funds rate              
Debt Instrument              
Basis spread on base rate (as a percent)     0.50%        
U.S. revolving line of credit | LIBOR rate loans              
Debt Instrument              
Minimum principal payments   $ 5,000,000.0 $ 5,000,000.0        
Increments in excess of minimum principal amount     1,000,000.0        
Swingline loan              
Debt Instrument              
Maximum borrowing capacity 20,000,000.0            
Minimum principal payments   100,000.0 100,000.0        
Increments in excess of minimum principal amount     100,000.0        
LC Facility              
Debt Instrument              
Maximum borrowing capacity 10,000,000.0            
Letters of credit outstanding   0 0 54,300,000      
U.S. term loan              
Debt Instrument              
Maximum borrowing capacity 231,300,000.0            
Minimum principal payments   5,000,000.0 5,000,000.0        
Increments in excess of minimum principal amount     1,000,000.0        
Interest expense incurred   8,500,000          
Long-term Debt   $ 0 $ 0 189,900,000      
U.S. term loan | Base rate loans              
Debt Instrument              
Quotient denominator used to determine LIBOR rate   1.00 1.00        
U.S. term loan | LIBOR rate loans | LIBOR              
Debt Instrument              
Applicable margin based on the Company's consolidated leverage ratio (as a percent)     3.75%        
U.S. term loan | Credit Agreement              
Debt Instrument              
Principal payments     $ 193,800,000        
Write off of debt issuance costs   $ 1,000,000          
Second Credit Amendment              
Debt Instrument              
Line of credit, mandatory reduction in revolving credit capacity 50,000,000.0            
Line of credit, capacity of dividends earnings applied to repayment of loan $ 50,000,000.0            
Second Credit Amendment | Debt Covenant Period One              
Debt Instrument              
Minimum consolidated leverage ratio 3.25            
Second Credit Amendment | Debt Covenant Period One | Base Rate              
Debt Instrument              
Derivative, basis spread on variable rate   2.75% 2.75%        
Second Credit Amendment | Debt Covenant Period One | LIBOR              
Debt Instrument              
Derivative, basis spread on variable rate   3.75% 3.75%        
Second Credit Amendment | Debt Covenant Period Two              
Debt Instrument              
Minimum consolidated leverage ratio 3.50            
Second Credit Amendment | Debt Covenant Period Three              
Debt Instrument              
Minimum consolidated leverage ratio 3.25            
Credit Agreement              
Debt Instrument              
Increments in excess of minimum principal amount     $ 1,000,000.0        
Credit Agreement | Maximum              
Debt Instrument              
Consolidated leverage ratio required (less than)     3.25        
Credit Agreement | Minimum              
Debt Instrument              
Minimum principal payments   $ 3,000,000.0 $ 3,000,000.0        
Capital lease obligations              
Debt Instrument              
Current capital lease obligations   1,200,000 1,200,000 1,400,000      
Long-term capital lease obligations   3,600,000 3,600,000 4,000,000      
Non-US              
Debt Instrument              
International cash balance   149,600,000 149,600,000        
Notes Payable to Banks              
Debt Instrument              
Long-term Debt   $ 900,000 $ 900,000 $ 0