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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 |  |  |

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