12.52 is what percent of 337.8 - 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 337.8 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 337.8, so we can write it down as 100%=337.8.
4. We know, that x% equals 12.52 of the output value, so we can write it down as x%=12.52.
5. Now we have two simple equations:
1) 100%=337.8
2) x%=12.52
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%=337.8/12.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.52 is what percent of 337.8

100%/x%=337.8/12.52
(100/x)*x=(337.8/12.52)*x       - we multiply both sides of the equation by x
100=26.980830670927*x       - we divide both sides of the equation by (26.980830670927) to get x
100/26.980830670927=x
3.7063351095323=x
x=3.7063351095323

now we have:
12.52 is 3.7063351095323% of 337.8