12.37 is what percent of 159.82 - 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 159.82 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 100% equals 159.82, so we can write it down as 100%=159.82.
4. We know, that x% equals 12.37 of the output value, so we can write it down as x%=12.37.
5. Now we have two simple equations:
1) 100%=159.82
2) x%=12.37
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:
100%/x%=159.82/12.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.37 is what percent of 159.82

100%/x%=159.82/12.37
(100/x)*x=(159.82/12.37)*x       - we multiply both sides of the equation by x
100=12.919967663703*x       - we divide both sides of the equation by (12.919967663703) to get x
100/12.919967663703=x
7.7399574521337=x
x=7.7399574521337

now we have:
12.37 is 7.7399574521337% of 159.82