315.22 is what percent of 1238.36 - 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 1238.36 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 1238.36, so we can write it down as 100%=1238.36.
4. We know, that x% equals 315.22 of the output value, so we can write it down as x%=315.22.
5. Now we have two simple equations:
1) 100%=1238.36
2) x%=315.22
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%=1238.36/315.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 315.22 is what percent of 1238.36

100%/x%=1238.36/315.22
(100/x)*x=(1238.36/315.22)*x       - we multiply both sides of the equation by x
100=3.9285578326248*x       - we divide both sides of the equation by (3.9285578326248) to get x
100/3.9285578326248=x
25.454633547595=x
x=25.454633547595

now we have:
315.22 is 25.454633547595% of 1238.36