What is 96.785 percent of 0.13 - 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 0.13 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 0.13 is 100%, so we can write it down as 0.13=100%.
4. We know, that x is 96.785% of the output value, so we can write it down as x=96.785%.
5. Now we have two simple equations:
1) 0.13=100%
2) x=96.785%
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:
0.13/x=100%/96.785%
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 96.785% of 0.13

0.13/x=100/96.785
(0.13/x)*x=(100/96.785)*x       - we multiply both sides of the equation by x
0.13=1.0332179573281*x       - we divide both sides of the equation by (1.0332179573281) to get x
0.13/1.0332179573281=x
0.1258205=x
x=0.1258205

now we have:
96.785% of 0.13=0.1258205