This generation of Intel CPUs can run a lot hotter than previous ones. Intel gives 105C as the max temp before it starts throttling. Seeing 80-90C will make a lot of people look twice, but it's not uncommon.
Having said that, it wouldn't be a bad idea to try bringing the temps down into the 70s if possible. What kind of CPU cooler/case airflow do you have?
edit: looking back, saw the Silverstone CPU cooler, which isn't bad. There are better ones out there at the very high end, or there's always water cooling, but I don't know if it's worth it in your situation. Simplest thing first: Take a look at the airflow and case fan situation ... if they're the stock ones that came with the case, or if the case has limited airflow, those are two possible places to start. Each one could bring the temps down by a few degrees if they're not ideal now.