Is This Normal?

Meh, if you're installing things and running several programs you shouldn't be worried about spikes like that, I'd say. It's normal enough.

If you have no programs open and it's spiking like that... well then I'd the processes and find out which one was causing it to spike.

You're running programs. The CPU is going to show usage.

The thing is that even when I have nothing extra running it still revs up, and I dont understand how google chrome and downloading LoL can cause an 8 core to go to 40%, I dont know if its me being paranoid because of my experiences with my old desktop or this is something that should be happening. (My desktop has been dead for like 4-5 months now and I've been using my laptop [which is also dieing now :-/] so I may have forgotten how desktop sound normally).

But yea since my desktop died -> laptop dieing -> I might be paranoid about my new machine dieing lol

Believe it or not, Chrome can easily cause the CPU to spike (especially when you go to a new page). So can installing things (I don't know what LoL is doing, but it may be doing more than just downloading).

You've got your process monitor. Just sort the list by CPU usage and watch and see what causes it to spike.

Firefox with its plugin-container dudes likes to eat my CPU 100% (dual core). Especially on sites where there are ads and when my connection is slow.

Believe it or not, Chrome can easily cause the CPU to spike (especially when you go to a new page). So can installing things (I don't know what LoL is doing, but it may be doing more than just downloading).

I'm often surprised by how many resources chrome can use in the worst case. I've noticed flash has been buggier than it has been in the past too and can use a lot of resources before eventually crashing.

A rev up every now and then is normal enough. There will be plenty of background processes running on a machine, even if you're otherwise doing nothing, that can cause it - indexing services, AV, agressive auto-updaters, application tuning services, etc. Your PC has most likely just decided that since it's got some idle CPU time it might be a good idea to do something that you may find useful later on with it. It's when it doesn't go back down again after a short while that you need to start worrying!

Definitely agreed on the browsers - some heavy "modern" websites can quite easily chew up CPU time. Anything could be causing CPU spikes when downloading too; the most likely example I can think of is some agressive AV kicking in.