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Stockholders' Equity and Stock-Based Compensation Stock Option Awards (Details) - USD ($) $ in Millions |  |  |  | 12 Months Ended
--- | --- | --- | --- | ---
Jan. 06, 2020 | Jan. 25, 2019 | Jan. 29, 2018 | Jan. 02, 2021 | Dec. 28, 2019 | Dec. 29, 2018 | Dec. 30, 2017
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Options outstanding, Weighted-average remaining contractual life (in years) |  |  |  | 6 years 2 months 12 days | 6 years 6 months | 6 years 10 months 24 days | 7 years 3 months 18 days
Granted (in shares) |  |  |  | 550,941 | 610,953 | 637,115 |
Proceeds from stock options exercised |  |  |  | $ 0.1 | $ 0.1 | $ 0.2 |
Share-based Payment Arrangement, Exercise of Option, Tax Benefit |  |  |  | 2.4 | 0.4 | 0.2 |
Exercises in period, intrinsic value |  |  |  | 19.5 | 4.7 | 1.1 |
Vested in period, fair value |  |  |  | 17.4 | $ 15.5 | $ 12.5 |
Outstanding, intrinsic value |  |  |  | 149.0 |  |  |
Exercisable, intrinsic value |  |  |  | 110.2 |  |  |
Total compensation cost not yet recognized |  |  |  | $ 7.4 |  |  |
Share-based Payment Arrangement, Nonvested Award, Cost Not yet Recognized, Period for Recognition |  |  |  | 1 year 2 months 12 days |  |  |
Options exercisable, Weighted-average remaining contractual life (in years) |  |  |  | 5 years 3 months 18 days |  |  |
Nonqualified Stock Options Under Long Term Incentive Program [Member] |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Granted (in shares) | 550,941 | 610,953 | 637,115 |  |  |  |
Award vesting rights, percentage |  |  |  | 33.33% |  |  |
Expiration period |  |  |  | 10 years |  |  |
Incentive Stock Options [Member] |  |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |  |  |  |  |
Shares Issued, Shares, Share-based Payment Arrangement, before Forfeiture |  |  |  | 0 | 0 | 0 |

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- Definition Weighted-average period over which cost not yet recognized is expected to be recognized for award under share-based payment arrangement, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents reported fact of one year, five months, and thirteen days. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (i) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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- Definition Amount of tax benefit from exercise of option under share-based payment arrangement. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2A -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=120381028&loc=SL79508275-113901 + Details
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- Definition Amount of cash inflow from exercise of option under share-based payment arrangement. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2A -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=120381028&loc=SL79508275-113901 Reference 2: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 230 -SubTopic 10 -Section 45 -Paragraph 14 -Subparagraph (a) -URI http://asc.fasb.org/extlink&oid=121586364&loc=d3e3255-108585 + Details
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- Definition Fair value of share-based awards for which the grantee gained the right by satisfying service and performance requirements, to receive or retain shares or units, other instruments, or cash. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (d)(2) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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- Definition Amount of accumulated difference between fair value of underlying shares on dates of exercise and exercise price on options exercised (or share units converted) into shares. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (d)(2) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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- Definition Period from grant date that an equity-based award expires, in 'PnYnMnDTnHnMnS' format, for example, 'P1Y5M13D' represents the reported fact of one year, five months, and thirteen days. + References Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (a)(2) -URI http://asc.fasb.org/extlink&oid=120381028&loc=d3e5070-113901 + Details
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