What is 36.625 percent of 42.85 - 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 42.85 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 42.85 is 100%, so we can write it down as 42.85=100%.
4. We know, that x is 36.625% of the output value, so we can write it down as x=36.625%.
5. Now we have two simple equations:
1) 42.85=100%
2) x=36.625%
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:
42.85/x=100%/36.625%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 36.625% of 42.85

42.85/x=100/36.625
(42.85/x)*x=(100/36.625)*x       - we multiply both sides of the equation by x
42.85=2.7303754266212*x       - we divide both sides of the equation by (2.7303754266212) to get x
42.85/2.7303754266212=x
15.6938125=x
x=15.6938125

now we have:
36.625% of 42.85=15.6938125