What is 1.49 percent of 12.586 - 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 12.586 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 12.586 is 100%, so we can write it down as 12.586=100%.
4. We know, that x is 1.49% of the output value, so we can write it down as x=1.49%.
5. Now we have two simple equations:
1) 12.586=100%
2) x=1.49%
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:
12.586/x=100%/1.49%
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 1.49% of 12.586

12.586/x=100/1.49
(12.586/x)*x=(100/1.49)*x       - we multiply both sides of the equation by x
12.586=67.114093959732*x       - we divide both sides of the equation by (67.114093959732) to get x
12.586/67.114093959732=x
0.1875314=x
x=0.1875314

now we have:
1.49% of 12.586=0.1875314