What is 7.61 percent of 37.797 - 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 37.797 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 37.797 is 100%, so we can write it down as 37.797=100%.
4. We know, that x is 7.61% of the output value, so we can write it down as x=7.61%.
5. Now we have two simple equations:
1) 37.797=100%
2) x=7.61%
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:
37.797/x=100%/7.61%
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 7.61% of 37.797

37.797/x=100/7.61
(37.797/x)*x=(100/7.61)*x       - we multiply both sides of the equation by x
37.797=13.140604467806*x       - we divide both sides of the equation by (13.140604467806) to get x
37.797/13.140604467806=x
2.8763517=x
x=2.8763517

now we have:
7.61% of 37.797=2.8763517