20.13 is what percent of 53.7 - 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 53.7 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 53.7, so we can write it down as 100%=53.7.
4. We know, that x% equals 20.13 of the output value, so we can write it down as x%=20.13.
5. Now we have two simple equations:
1) 100%=53.7
2) x%=20.13
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%=53.7/20.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.13 is what percent of 53.7

100%/x%=53.7/20.13
(100/x)*x=(53.7/20.13)*x       - we multiply both sides of the equation by x
100=2.6676602086438*x       - we divide both sides of the equation by (2.6676602086438) to get x
100/2.6676602086438=x
37.486033519553=x
x=37.486033519553

now we have:
20.13 is 37.486033519553% of 53.7