To be able to say with any degree of certainty, you also need to know which processor family you're dealing with, and which piece of software. I'm assuming you know what kind of processor you have, so you just need to know what you're comparing it to. For example, maybe the website specs say "at least a core2 duo dual core processor" or something. If not, though, (if it just says dual core processor) then make an educated guess. When was the software released / when were the online specs last updated? Find a processor from that time that's around 3.2ghz. Was the software recently released? Go to newegg and look at the dual core processors they carry in the 3.2ghz range.

Anyway, after you have a rough idea of which processor you're trying to compare yours to, check out some benchmarks at a site like tomshardware. Here are the charts for 2010 processors: http://www.tomshardware.com/charts/desktop-cpu-charts-2010/benchmarks,112.html

Now find a chart that shows benchmarks for the task you're trying to do. They have gaming charts, encryption, video editing, etc. Pick a chart. Find your processor. Find the 3.2ghz processor you looked into earlier. Is yours above (or close to) the other one? Great, you're fine. Quite a bit lower? You may have problems.

If you don't want to deal with all of that, just post the specifics (your processor, and the software you're trying to run) on a forum somewhere, and they/we will let you know.