When you get this high CPU up to 100% is the avast tray icon actually rotating ?
As even if it did go up to 100%, which I would consider unusual
Have (or did) you another Anti-Virus installed in this system, if so what was it and how did you get rid of it ?
Even if this is an earlier version of avast I would suggest a clean reinstall of avast.
Some information on your system would also be helpful, OS, CPU, RAM ?
What other security based software do you have installed, anti-spyware, firewall, etc. ?