12.04 is what percent of 92.59 - 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 92.59 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 92.59, so we can write it down as 100%=92.59.
4. We know, that x% equals 12.04 of the output value, so we can write it down as x%=12.04.
5. Now we have two simple equations:
1) 100%=92.59
2) x%=12.04
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%=92.59/12.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.04 is what percent of 92.59

100%/x%=92.59/12.04
(100/x)*x=(92.59/12.04)*x       - we multiply both sides of the equation by x
100=7.6901993355482*x       - we divide both sides of the equation by (7.6901993355482) to get x
100/7.6901993355482=x
13.003564099795=x
x=13.003564099795

now we have:
12.04 is 13.003564099795% of 92.59