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Subsidiary Guarantors of the Public Bonds (Consolidated Condensed Statements of Cash Flow) (Details) - USD ($) $ in Millions | 12 Months Ended
--- | ---
Jan. 02, 2016 | Jan. 03, 2015 | Dec. 28, 2013
Condensed Cash Flow Statements, Captions [Line Items] |  |  |
Net cash provided by (used in) operating activities | $ 215.5 | $ 314.6 | $ 202.3
INVESTING ACTIVITIES |  |  |
Additions to property, plant and equipment | (46.4) | (30.0) | (41.7)
Proceeds from sales of property, plant and equipment | 0.0 | 0.0 | 2.8
Investments in joint ventures | 0.0 | (1.1) | (2.5)
Other | (3.6) | (3.7) | (3.3)
Net cash used in investing activities | (50.0) | (34.8) | (44.7)
FINANCING ACTIVITIES |  |  |
Borrowings of long-term debt | 450.0 | 0.0 | 775.0
Payments on long-term debt | (530.9) | (249.8) | (875.0)
Payments of debt issuance costs | (2.4) | 0.0 | (2.3)
Cash dividends paid | (24.4) | (24.0) | (23.7)
Purchase of common stock for treasury | (92.6) | 0.0 | 0.0
Purchases of shares under employee stock plans | (7.7) | (10.5) | (0.8)
Proceeds from the exercise of stock options | 13.3 | 7.3 | 8.6
Excess tax benefits from stock-based compensation | 4.9 | 5.6 | 3.4
Contributions from noncontrolling interest | 2.5 | 1.0 | 2.0
Net cash (used in) provided by in financing activities | (187.3) | (270.4) | (112.8)
Effect of foreign exchange rate changes | (7.9) | 0.2 | (2.0)
Increase (decrease) in cash and cash equivalents | (29.7) | 9.6 | 42.8
Cash and cash equivalents at beginning of the year | 223.8 | 214.2 | 171.4
Cash and cash equivalents at end of the year | 194.1 | 223.8 | 214.2
Parent [Member] |  |  |
Condensed Cash Flow Statements, Captions [Line Items] |  |  |
Net cash provided by (used in) operating activities | 221.2 | 274.1 | 127.1
INVESTING ACTIVITIES |  |  |
Additions to property, plant and equipment | (15.9) | (7.7) | (11.9)
Other | 0.3 | (2.4) | (2.9)
Net cash used in investing activities | (15.6) | (10.1) | (14.8)
FINANCING ACTIVITIES |  |  |
Borrowings of long-term debt | 450.0 |  | 775.0
Payments on long-term debt | (530.9) | (249.8) | (875.0)
Payments of debt issuance costs | (2.4) |  | (2.3)
Cash dividends paid | (24.4) | (24.0) | (23.7)
Purchase of common stock for treasury | (92.6) |  |
Purchases of shares under employee stock plans | (7.7) | (10.5) | (0.8)
Proceeds from the exercise of stock options | 13.3 | 7.3 | 8.6
Excess tax benefits from stock-based compensation | 4.9 | 5.6 | 3.4
Contributions from noncontrolling interest | 0.0 | 0.0 | 0.0
Net cash (used in) provided by in financing activities | (189.8) | (271.4) | (114.8)
Effect of foreign exchange rate changes |  |  | 0.0
Increase (decrease) in cash and cash equivalents | 15.8 | (7.4) | (2.5)
Cash and cash equivalents at beginning of the year | 11.4 | 18.8 | 21.3
Cash and cash equivalents at end of the year | 27.2 | 11.4 | 18.8
Subsidiary Guarantors [Member] |  |  |
Condensed Cash Flow Statements, Captions [Line Items] |  |  |
Net cash provided by (used in) operating activities | 24.3 | 9.1 | (10.0)
INVESTING ACTIVITIES |  |  |
Additions to property, plant and equipment | (21.1) | (19.6) | (25.0)
Proceeds from sales of property, plant and equipment |  |  | 2.8
Other | (3.9) | (1.2) | (1.3)
Net cash used in investing activities | (25.0) | (20.8) | (23.5)
FINANCING ACTIVITIES |  |  |
Borrowings of long-term debt | 0.0 |  | 0.0
Payments of debt issuance costs | 0.0 |  | 0.0
Purchase of common stock for treasury | 0.0 |  |
Contributions from noncontrolling interest | 0.0 | 0.0 | 0.0
Net cash (used in) provided by in financing activities | 0.0 | 0.0 | 0.0
Effect of foreign exchange rate changes |  |  | 0.0
Increase (decrease) in cash and cash equivalents | (0.7) | (11.7) | (33.5)
Cash and cash equivalents at beginning of the year | 3.3 | 15.0 | 48.5
Cash and cash equivalents at end of the year | 2.6 | 3.3 | 15.0
Non-Guarantor Subsidiaries [Member] |  |  |
Condensed Cash Flow Statements, Captions [Line Items] |  |  |
Net cash provided by (used in) operating activities | (30.0) | 31.4 | 85.2
INVESTING ACTIVITIES |  |  |
Additions to property, plant and equipment | (9.4) | (2.7) | (4.8)
Investments in joint ventures |  | (1.1) | (2.5)
Other |  | (0.1) | 0.9
Net cash used in investing activities | (9.4) | (3.9) | (6.4)
FINANCING ACTIVITIES |  |  |
Borrowings of long-term debt | 0.0 |  | 0.0
Payments of debt issuance costs | 0.0 |  | 0.0
Purchase of common stock for treasury | 0.0 |  |
Contributions from noncontrolling interest | 2.5 | 1.0 | 2.0
Net cash (used in) provided by in financing activities | 2.5 | 1.0 | 2.0
Effect of foreign exchange rate changes | (7.9) | 0.2 | (2.0)
Increase (decrease) in cash and cash equivalents | (44.8) | 28.7 | 78.8
Cash and cash equivalents at beginning of the year | 209.1 | 180.4 | 101.6
Cash and cash equivalents at end of the year | 164.3 | 209.1 | 180.4
Eliminations [Member] |  |  |
Condensed Cash Flow Statements, Captions [Line Items] |  |  |
Net cash provided by (used in) operating activities |  |  | 0.0
INVESTING ACTIVITIES |  |  |
Proceeds from sales of property, plant and equipment |  |  | 0.0
Net cash used in investing activities |  |  | 0.0
FINANCING ACTIVITIES |  |  |
Net cash (used in) provided by in financing activities |  |  | 0.0
Effect of foreign exchange rate changes |  |  | 0.0
Increase (decrease) in cash and cash equivalents |  |  | 0.0
Cash and cash equivalents at beginning of the year | 0.0 | 0.0 | 0.0
Cash and cash equivalents at end of the year | $ 0.0 | $ 0.0 | $ 0.0

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