13.63 is what percent of 164.57 - 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 164.57 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 164.57, so we can write it down as 100%=164.57.
4. We know, that x% equals 13.63 of the output value, so we can write it down as x%=13.63.
5. Now we have two simple equations:
1) 100%=164.57
2) x%=13.63
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%=164.57/13.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.63 is what percent of 164.57

100%/x%=164.57/13.63
(100/x)*x=(164.57/13.63)*x       - we multiply both sides of the equation by x
100=12.074101247249*x       - we divide both sides of the equation by (12.074101247249) to get x
100/12.074101247249=x
8.2821899495655=x
x=8.2821899495655

now we have:
13.63 is 8.2821899495655% of 164.57