0.53 is what percent of 0.13 - 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 0.13 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 0.13, so we can write it down as 100%=0.13.
4. We know, that x% equals 0.53 of the output value, so we can write it down as x%=0.53.
5. Now we have two simple equations:
1) 100%=0.13
2) x%=0.53
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%=0.13/0.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.53 is what percent of 0.13

100%/x%=0.13/0.53
(100/x)*x=(0.13/0.53)*x       - we multiply both sides of the equation by x
100=0.24528301886792*x       - we divide both sides of the equation by (0.24528301886792) to get x
100/0.24528301886792=x
407.69230769231=x
x=407.69230769231

now we have:
0.53 is 407.69230769231% of 0.13