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Income Taxes - Narrative (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended |
--- | --- | --- | ---
Oct. 02, 2016 | Dec. 30, 2018 | Dec. 31, 2017 | Jan. 01, 2017 | Jan. 03, 2016
Income Taxes [Line Items] |  |  |  |  |
U.S. statutory rate |  | 21.00% | 35.00% | 35.00% |
Income tax benefit |  | $ (27.1) | $ 12.8 | $ 30.0 |
Deferred tax asset revaluation, income tax expense |  |  | 13.9 |  |
Transition tax |  | 0.0 | 0.0 |  |
Loss carryforwards |  | 30.8 | 38.8 |  |
Valuation allowance |  | 27.8 | 34.6 |  |
Undistributed earnings of foreign subsidiaries |  | 141.8 |  |  |
Unrecognized tax benefits |  | 1.1 | 1.2 | 1.4 | $ 1.7
Unrecognized tax benefits that would impact effective tax rate |  | 0.9 | 1.0 | 1.0 |
Unrecognized tax benefits, income tax penalties and interest accrued |  | 0.2 | $ 0.2 |  |
Significant change in unrecognized tax benefits is reasonably possible, amount of unrecorded benefit |  | 0.3 |  |  |
General Business Tax Credit Carryforward |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
General business credit carryforward |  | 149.6 |  |  |
Foreign Tax Credit Carryforward |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
General business credit carryforward |  | 5.9 |  |  |
State Credit Carryforward |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
General business credit carryforward |  | 0.1 |  |  |
Pro Forma |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Potential repatriation of foreign earnings amount |  | 8.9 |  |  |
United Kingdom |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Valuation allowance |  | 14.2 |  |  |
Persol Holdings Investment |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Income tax benefit |  | $ (29.4) |  |  |
PersolKelly Asia Pacific |  |  |  |  |
Income Taxes [Line Items] |  |  |  |  |
Tax expense on gain on investment in PersolKelly Asia Pacific equity affiliate | $ 23.5 |  |  | $ 23.5 |

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- Definition Tax Cuts And Jobs Act Of 2017, Incomplete Accounting, Deferred Tax Asset Revaluation, Provisional Income Tax Expense + References No definition available. + Details
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