What is 9.82 percent of 12.5 - 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 12.5 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 12.5 is 100%, so we can write it down as 12.5=100%.
4. We know, that x is 9.82% of the output value, so we can write it down as x=9.82%.
5. Now we have two simple equations:
1) 12.5=100%
2) x=9.82%
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:
12.5/x=100%/9.82%
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 9.82% of 12.5

12.5/x=100/9.82
(12.5/x)*x=(100/9.82)*x       - we multiply both sides of the equation by x
12.5=10.183299389002*x       - we divide both sides of the equation by (10.183299389002) to get x
12.5/10.183299389002=x
1.2275=x
x=1.2275

now we have:
9.82% of 12.5=1.2275