What is 15.865 percent of 117.455 - 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 117.455 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 117.455 is 100%, so we can write it down as 117.455=100%.
4. We know, that x is 15.865% of the output value, so we can write it down as x=15.865%.
5. Now we have two simple equations:
1) 117.455=100%
2) x=15.865%
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:
117.455/x=100%/15.865%
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 15.865% of 117.455

117.455/x=100/15.865
(117.455/x)*x=(100/15.865)*x       - we multiply both sides of the equation by x
117.455=6.3031831074693*x       - we divide both sides of the equation by (6.3031831074693) to get x
117.455/6.3031831074693=x
18.63423575=x
x=18.63423575

now we have:
15.865% of 117.455=18.63423575