Your figures are wrong.
If you work for someone else, you pay 6.2% of your income in FICA taxes PLUS 1.45% for Medicare, or a total of 7.65% up to 97,500.
Individuals do not pay for unemployment insurance. Furthermore, the rate employers pay for UI is nowhere near 6.2%. In Texas, for instance, the highest rate is 2.7% and that is for new businesses with no past history of claims. If you have no claims, your rate goes down after a while.
I want to point out that you see the employer and the employee are both coughing up half. It’s still a combined figure (tax total that the government is busy collecting)for that individual to be employed for another. If it was a flat tax, it would stop the need for an underground economy...