Minnie works for a company with a $401($k$)$ plan. She currently earns $$100,000$ in gross salary and contributes $10\%$ of her gross salary into helif $401(k)$ account. If her marginal tax rate is $22\%,$ how much income tax liability is she saving by participating in her $401($k$)?$

$$1,100$

$$22,000$

$$2,200$

$$10,000$