What is 66.386554621849 percent of 12.95 - 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 12.95 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 12.95 is 100%, so we can write it down as 12.95=100%.
4. We know, that x is 66.386554621849% of the output value, so we can write it down as x=66.386554621849%.
5. Now we have two simple equations:
1) 12.95=100%
2) x=66.386554621849%
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:
12.95/x=100%/66.386554621849%
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 66.386554621849% of 12.95

12.95/x=100/66.386554621849
(12.95/x)*x=(100/66.386554621849)*x       - we multiply both sides of the equation by x
12.95=1.506329113924*x       - we divide both sides of the equation by (1.506329113924) to get x
12.95/1.506329113924=x
8.5970588235294=x
x=8.5970588235294

now we have:
66.386554621849% of 12.95=8.5970588235294