What is 36.1 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 37 is 100%, so we can write it down as 37=100%.
4. We know, that x is 36.1% of the output value, so we can write it down as x=36.1%.
5. Now we have two simple equations:
1) 37=100%
2) x=36.1%
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:
37/x=100%/36.1%
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 36.1% of 37

37/x=100/36.1
(37/x)*x=(100/36.1)*x       - we multiply both sides of the equation by x
37=2.7700831024931*x       - we divide both sides of the equation by (2.7700831024931) to get x
37/2.7700831024931=x
13.357=x
x=13.357

now we have:
36.1% of 37=13.357