13.47 is what percent of 36.43 - 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 36.43 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 36.43, so we can write it down as 100%=36.43.
4. We know, that x% equals 13.47 of the output value, so we can write it down as x%=13.47.
5. Now we have two simple equations:
1) 100%=36.43
2) x%=13.47
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%=36.43/13.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.47 is what percent of 36.43

100%/x%=36.43/13.47
(100/x)*x=(36.43/13.47)*x       - we multiply both sides of the equation by x
100=2.7045285820342*x       - we divide both sides of the equation by (2.7045285820342) to get x
100/2.7045285820342=x
36.975020587428=x
x=36.975020587428

now we have:
13.47 is 36.975020587428% of 36.43