What is 5.06 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 5.06% of the output value, so we can write it down as x=5.06%.
5. Now we have two simple equations:
1) 12.56=100%
2) x=5.06%
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%/5.06%
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 5.06% of 12.56

12.56/x=100/5.06
(12.56/x)*x=(100/5.06)*x       - we multiply both sides of the equation by x
12.56=19.762845849802*x       - we divide both sides of the equation by (19.762845849802) to get x
12.56/19.762845849802=x
0.635536=x
x=0.635536

now we have:
5.06% of 12.56=0.635536