My humidity threshold seems to be at around 60%. Normal?

Anything higher and I sweat like there's no tomorrow. Is this normal for some people or not? I am often told I use air conditioning too much but what the heck am I supposed to do? I can't sleep when I am sweating my b*lls off. It's been with me since childhood. I only started to take notice of the 60% humidity threshold as of a year ago. I check weather.com and have a humidity meter in the apartment now.