0.13 is what percent of 5200 - 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 5200 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 5200, so we can write it down as 100%=5200.
4. We know, that x% equals 0.13 of the output value, so we can write it down as x%=0.13.
5. Now we have two simple equations:
1) 100%=5200
2) x%=0.13
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%=5200/0.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.13 is what percent of 5200

100%/x%=5200/0.13
(100/x)*x=(5200/0.13)*x       - we multiply both sides of the equation by x
100=40000*x       - we divide both sides of the equation by (40000) to get x
100/40000=x
0.0025=x
x=0.0025

now we have:
0.13 is 0.0025% of 5200