36.44 is what percent of 53.72 - 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 53.72 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 53.72, so we can write it down as 100%=53.72.
4. We know, that x% equals 36.44 of the output value, so we can write it down as x%=36.44.
5. Now we have two simple equations:
1) 100%=53.72
2) x%=36.44
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%=53.72/36.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 36.44 is what percent of 53.72

100%/x%=53.72/36.44
(100/x)*x=(53.72/36.44)*x       - we multiply both sides of the equation by x
100=1.4742041712404*x       - we divide both sides of the equation by (1.4742041712404) to get x
100/1.4742041712404=x
67.83320923306=x
x=67.83320923306

now we have:
36.44 is 67.83320923306% of 53.72