6636.67 is what percent of 13000 - 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 13000 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 13000, so we can write it down as 100%=13000.
4. We know, that x% equals 6636.67 of the output value, so we can write it down as x%=6636.67.
5. Now we have two simple equations:
1) 100%=13000
2) x%=6636.67
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%=13000/6636.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6636.67 is what percent of 13000

100%/x%=13000/6636.67
(100/x)*x=(13000/6636.67)*x       - we multiply both sides of the equation by x
100=1.9588136821629*x       - we divide both sides of the equation by (1.9588136821629) to get x
100/1.9588136821629=x
51.051307692308=x
x=51.051307692308

now we have:
6636.67 is 51.051307692308% of 13000