13.5 is what percent of 37 - 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 37 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 37, so we can write it down as 100%=37.
4. We know, that x% equals 13.5 of the output value, so we can write it down as x%=13.5.
5. Now we have two simple equations:
1) 100%=37
2) x%=13.5
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%=37/13.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.5 is what percent of 37

100%/x%=37/13.5
(100/x)*x=(37/13.5)*x       - we multiply both sides of the equation by x
100=2.7407407407407*x       - we divide both sides of the equation by (2.7407407407407) to get x
100/2.7407407407407=x
36.486486486486=x
x=36.486486486486

now we have:
13.5 is 36.486486486486% of 37