Here is my problem:
What number increased by 6% of itself equals 2650?
I've gotton to the point of: 1.06x=2650 0VER 1.06(in a fraction). But I'm stuck on what to do next. Hellllp.
i don't see your problem
Let the number be $\displaystyle x$
$\displaystyle x + 6 \% x = 2650$
$\displaystyle \Rightarrow x + 0.06x = 2650$
$\displaystyle \Rightarrow 1.06x = 2650$ .......Now divide both sides by 1.06
$\displaystyle \Rightarrow x = \frac {2650}{1.06}$
$\displaystyle \Rightarrow x = 2500$
Note that "percentage" is just a fancy word for "over 100." so 6% means 6/100, 25% means 25/100. also note that "of" means "multiply." so 6% of x means 6/100 * x = 0.06 * x = 0.06x. and that's what we added to x
Well, let's call the number you're looking for $\displaystyle x$, as you did.
Then, notice that if you take $\displaystyle x$ and "add it to 6% of itself", you just get
$\displaystyle x + \{ \textrm{6\% of }x\} = x + 0.06 \times x = 1.06 \times x$
So your problem is just this:
$\displaystyle 1.06 \times x = 2650$
so that $\displaystyle x = \frac{2650}{1.06} = 2500$
(Edit: My apologies, Jhevon was there first)