What is 37.96 percent of 47.45 - 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 47.45 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 47.45 is 100%, so we can write it down as 47.45=100%.
4. We know, that x is 37.96% of the output value, so we can write it down as x=37.96%.
5. Now we have two simple equations:
1) 47.45=100%
2) x=37.96%
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:
47.45/x=100%/37.96%
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 37.96% of 47.45

47.45/x=100/37.96
(47.45/x)*x=(100/37.96)*x       - we multiply both sides of the equation by x
47.45=2.6343519494204*x       - we divide both sides of the equation by (2.6343519494204) to get x
47.45/2.6343519494204=x
18.01202=x
x=18.01202

now we have:
37.96% of 47.45=18.01202