Income Taxes - Schedule of Deferred Tax Assets and Liabilities (Details) - USD ($) $ in Millions	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019	Dec. 30, 2018
Deferred tax assets
Tax loss and credit carry forwards	$ 571.1	$ 535.8
Allowances and reserves	27.8	26.7
Accrued liabilities	5.2	5.1
Operating lease liability	7.9	7.9
Employee related obligations	24.1	20.9
Capitalized transaction costs	7.8	7.1
Other	12.3	19.4
Total deferred tax assets	656.2	622.9
Less: Valuation Allowance	(591.2)	(554.8)	$ (484.1)	$ (419.7)
Net, Deferred tax assets	65.0	68.1
Deferred tax liabilities
Goodwill and intangibles	79.3	76.8
Depreciation	(28.8)	(31.4)
Right-of-use asset	(7.8)	(7.8)
Unrealized (gain)/loss	(7.8)	(7.7)
Other	(3.7)	(3.7)
Total deferred tax liabilities	(127.4)	(127.4)
Net, Deferred tax liability	62.4	59.3
Noncurrent Deferred Tax Assets Gross	9.7	8.0
Noncurrent Deferred Tax Liabilities Gross	(72.1)	(67.3)
Net, Deferred tax liability	$ 62.4	$ 59.3