What is 37 percent of 106.5 - 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 106.5 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 106.5 is 100%, so we can write it down as 106.5=100%.
4. We know, that x is 37% of the output value, so we can write it down as x=37%.
5. Now we have two simple equations:
1) 106.5=100%
2) x=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:
106.5/x=100%/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 37% of 106.5

106.5/x=100/37
(106.5/x)*x=(100/37)*x       - we multiply both sides of the equation by x
106.5=2.7027027027027*x       - we divide both sides of the equation by (2.7027027027027) to get x
106.5/2.7027027027027=x
39.405=x
x=39.405

now we have:
37% of 106.5=39.405