What is 85.63 percent of 0.0115 - 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 0.0115 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 0.0115 is 100%, so we can write it down as 0.0115=100%.
4. We know, that x is 85.63% of the output value, so we can write it down as x=85.63%.
5. Now we have two simple equations:
1) 0.0115=100%
2) x=85.63%
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:
0.0115/x=100%/85.63%
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 85.63% of 0.0115

0.0115/x=100/85.63
(0.0115/x)*x=(100/85.63)*x       - we multiply both sides of the equation by x
0.0115=1.1678150181011*x       - we divide both sides of the equation by (1.1678150181011) to get x
0.0115/1.1678150181011=x
0.00984745=x
x=0.00984745

now we have:
85.63% of 0.0115=0.00984745