What is 18.66028708134 percent of 1.15 - 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 1.15 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 1.15 is 100%, so we can write it down as 1.15=100%.
4. We know, that x is 18.66028708134% of the output value, so we can write it down as x=18.66028708134%.
5. Now we have two simple equations:
1) 1.15=100%
2) x=18.66028708134%
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:
1.15/x=100%/18.66028708134%
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 18.66028708134% of 1.15

1.15/x=100/18.66028708134
(1.15/x)*x=(100/18.66028708134)*x       - we multiply both sides of the equation by x
1.15=5.3589743589743*x       - we divide both sides of the equation by (5.3589743589743) to get x
1.15/5.3589743589743=x
0.21459330143541=x
x=0.21459330143541

now we have:
18.66028708134% of 1.15=0.21459330143541