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Income Taxes - Deferred Taxes (Details) - USD ($)
$ in Millions
Jan. 02, 2022
Jan. 03, 2021
Components of Deferred Tax Assets and Liabilities    
Depreciation and amortization $ (9.5) $ (10.5)
Employee compensation and benefit plans 70.4 61.4
Accrued payroll and related taxes 22.1 29.6
Accrued workers’ compensation 11.7 13.4
Investment in Persol Holdings (70.9) (39.1)
Investment in equity affiliate (13.3) (13.1)
Operating lease liabilities 21.8 21.7
Loss carryforwards 36.4 33.6
Credit carryforwards 175.0 161.2
Other, net 6.5 4.3
Valuation allowance (19.0) (20.2)
Deferred tax assets, net $ 231.2 $ 242.3