3298.13 is what percent of 6784.95 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 6784.95 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 6784.95, so we can write it down as 100%=6784.95.
4. We know, that x% equals 3298.13 of the output value, so we can write it down as x%=3298.13.
5. Now we have two simple equations:
1) 100%=6784.95
2) x%=3298.13
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=6784.95/3298.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3298.13 is what percent of 6784.95

100%/x%=6784.95/3298.13
(100/x)*x=(6784.95/3298.13)*x       - we multiply both sides of the equation by x
100=2.0572112075631*x       - we divide both sides of the equation by (2.0572112075631) to get x
100/2.0572112075631=x
48.60949601692=x
x=48.60949601692

now we have:
3298.13 is 48.60949601692% of 6784.95