Income Taxes - Narrative (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022	Jan. 03, 2021
Income Taxes [Line Items]
Deferred tax assets, net	$ 324.8	$ 299.2
Valuation allowance	60.5	34.0
Income tax expense (benefit)	(11.5)	(7.9)	$ 35.1
Tax exempt life insurance cash surrender	6.5	7.8	5.2
Gain from insurance settlement			4.8
Undistributed earnings of foreign subsidiaries	48.1
Unrecognized tax benefits	0.6	0.5	0.6	$ 0.5
Unrecognized tax benefits that would impact effective tax rate	0.5	0.4	0.5
Unrecognized tax benefits, income tax penalties and interest expense	0.1		0.1
Unrecognized tax benefits, income tax penalties and interest accrued	0.2	0.1
Significant change in unrecognized tax benefits is reasonably possible, amount of unrecorded benefit	0.3
Pro Forma
Income Taxes [Line Items]
Potential repatriation of foreign earnings amount	4.0
United Kingdom
Income Taxes [Line Items]
Income tax expense (benefit)			(5.2)
Persol Holdings Investment
Income Taxes [Line Items]
Income tax expense (benefit)		(16.9)	$ 37.3
Assets Held-For-Sale
Income Taxes [Line Items]
Income tax expense (benefit)	(15.0)
Goodwill
Income Taxes [Line Items]
Income tax expense (benefit)		(7.1)
United Kingdom Deferred Tax Assets
Income Taxes [Line Items]
Valuation allowance, deferred tax asset, increase (decrease), amount	19.1
Held-For-Sale Assets
Income Taxes [Line Items]
Valuation allowance, deferred tax asset, increase (decrease), amount	19.8
Germany Deferred Tax Assets
Income Taxes [Line Items]
Valuation allowance, deferred tax asset, increase (decrease), amount	(5.6)
U.S. Foreign Tax Credits
Income Taxes [Line Items]
Valuation allowance	14.5
Valuation allowance, deferred tax asset, increase (decrease), amount	(9.0)
General Business Tax Credit Carryforward | Expiring In Years 2034 to 2042
Income Taxes [Line Items]
General business credit carryforward	185.0
Foreign Tax Credit Carryforward | Expiring In Years 2023 to 2032
Income Taxes [Line Items]
General business credit carryforward	23.5
Deferred Tax
Income Taxes [Line Items]
Deferred tax assets, net	321.1	299.7
Assets Held-For-Sale
Income Taxes [Line Items]
Deferred tax assets, net	4.1
Other Noncurrent Liabilities
Income Taxes [Line Items]
Deferred tax assets, net	$ 0.4	$ 0.5