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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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