What is 12.5 percent of 105.25 - 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 105.25 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 105.25 is 100%, so we can write it down as 105.25=100%.
4. We know, that x is 12.5% of the output value, so we can write it down as x=12.5%.
5. Now we have two simple equations:
1) 105.25=100%
2) x=12.5%
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:
105.25/x=100%/12.5%
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 12.5% of 105.25

105.25/x=100/12.5
(105.25/x)*x=(100/12.5)*x       - we multiply both sides of the equation by x
105.25=8*x       - we divide both sides of the equation by (8) to get x
105.25/8=x
13.15625=x
x=13.15625

now we have:
12.5% of 105.25=13.15625