12.62 is what percent of 180.39 - 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 180.39 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 180.39, so we can write it down as 100%=180.39.
4. We know, that x% equals 12.62 of the output value, so we can write it down as x%=12.62.
5. Now we have two simple equations:
1) 100%=180.39
2) x%=12.62
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%=180.39/12.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.62 is what percent of 180.39

100%/x%=180.39/12.62
(100/x)*x=(180.39/12.62)*x       - we multiply both sides of the equation by x
100=14.293977812995*x       - we divide both sides of the equation by (14.293977812995) to get x
100/14.293977812995=x
6.9959532124841=x
x=6.9959532124841

now we have:
12.62 is 6.9959532124841% of 180.39