316.18 is what percent of 2526.82 - 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 2526.82 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 2526.82, so we can write it down as 100%=2526.82.
4. We know, that x% equals 316.18 of the output value, so we can write it down as x%=316.18.
5. Now we have two simple equations:
1) 100%=2526.82
2) x%=316.18
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%=2526.82/316.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 316.18 is what percent of 2526.82

100%/x%=2526.82/316.18
(100/x)*x=(2526.82/316.18)*x       - we multiply both sides of the equation by x
100=7.9917135808717*x       - we divide both sides of the equation by (7.9917135808717) to get x
100/7.9917135808717=x
12.512960954876=x
x=12.512960954876

now we have:
316.18 is 12.512960954876% of 2526.82