What is 37.4 percent of 12.56 - 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 12.56 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 12.56 is 100%, so we can write it down as 12.56=100%.
4. We know, that x is 37.4% of the output value, so we can write it down as x=37.4%.
5. Now we have two simple equations:
1) 12.56=100%
2) x=37.4%
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:
12.56/x=100%/37.4%
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 37.4% of 12.56

12.56/x=100/37.4
(12.56/x)*x=(100/37.4)*x       - we multiply both sides of the equation by x
12.56=2.6737967914439*x       - we divide both sides of the equation by (2.6737967914439) to get x
12.56/2.6737967914439=x
4.69744=x
x=4.69744

now we have:
37.4% of 12.56=4.69744