What Does "Mucho Gusto" Mean in English?

Quick Answer

Mucho gusto.= Nice to meet you. / Pleased to meet you. / It's a pleasure to meet you.

examples
Mucho gusto. Me llamo Bradley.
Nice to meet you. My name is Bradley.
Te presento a mi hermana. - Mucho gusto.
Let me introduce you to my sister. - Pleased to meet you.

In some countries, such as Costa Rica, mucho gusto is also used to say you're welcome.

examples
¡Muchas gracias! - Mucho gusto, señor.
Thank you! - You're welcome, sir.