Income Taxes - Tax rate reconciliation (Details)	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Reconciliation of federal statutory tax rate to effective tax rate
Federal statutory rate (as a percent)	21.00%	21.00%	21.00%
Foreign tax rate benefit (as a percent)	(12.50%)	(11.10%)	(9.70%)
Research and development tax credits (as a percent)	0.10%	4.20%	5.30%
GILTI and Subpart F Income	(1.80%)	0.20%	0.20%
(Nondeductible) nontaxable foreign items	(4.90%)	0.10%	(2.50%)
Nondeductible officer compensation	(7.80%)	(1.70%)	(2.00%)
Change in cost-sharing treatment of stock-based compensation			(19.20%)
Excess tax benefit of stock-based compensation	(2.80%)	(0.40%)	(0.80%)
Other tax effects of equity compensation	0.40%	0.10%	0.70%
Change in prior period valuation allowance	(8.00%)	(0.30%)	(0.70%)
(Nondeductible) nontaxable domestic items	(2.10%)	(1.60%)	(1.60%)
Net operating loss not benefited	(9.50%)
Other (as a percent)	(0.80%)	(0.30%)	0.40%
Effective Tax Rate (as a percent)	(23.10%)	11.00%	(7.30%)