What is 18.37 percent of 35.56 - 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 35.56 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 35.56 is 100%, so we can write it down as 35.56=100%.
4. We know, that x is 18.37% of the output value, so we can write it down as x=18.37%.
5. Now we have two simple equations:
1) 35.56=100%
2) x=18.37%
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:
35.56/x=100%/18.37%
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 18.37% of 35.56

35.56/x=100/18.37
(35.56/x)*x=(100/18.37)*x       - we multiply both sides of the equation by x
35.56=5.4436581382689*x       - we divide both sides of the equation by (5.4436581382689) to get x
35.56/5.4436581382689=x
6.532372=x
x=6.532372

now we have:
18.37% of 35.56=6.532372