Enormously means to a very great extent or degree. When something is done enormously, it happens on a huge scale or with tremendous intensity.

If a scientist is enormously proud of her discovery, she's filled with deep satisfaction and excitement that goes far beyond ordinary pleasure. If your friend has improved enormously at piano, they've made dramatic, obvious progress that anyone can hear.

Enormously can describe size, feelings, effort, or change. A blue whale is enormously heavy. Training for a marathon is enormously difficult. When you work enormously hard on a school project, you pour tremendous energy and focus into it.

Notice that enormously intensifies whatever it modifies. Something that helps enormously provides major assistance. Something enormously complicated presents extreme difficulty. The word signals that you're dealing with the far end of the scale: massive size, extreme difficulty, intense emotion, or remarkable change. When you use enormously, you're telling your listener that “very” or “really” wouldn't quite capture how big, hard, or significant something truly is.