36.44 is what percent of 57.85 - 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 57.85 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 57.85, so we can write it down as 100%=57.85.
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%=57.85
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%=57.85/36.44
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 57.85

100%/x%=57.85/36.44
(100/x)*x=(57.85/36.44)*x       - we multiply both sides of the equation by x
100=1.5875411635565*x       - we divide both sides of the equation by (1.5875411635565) to get x
100/1.5875411635565=x
62.990492653414=x
x=62.990492653414

now we have:
36.44 is 62.990492653414% of 57.85