310.22 is what percent of 1294.39 - 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 1294.39 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 1294.39, so we can write it down as 100%=1294.39.
4. We know, that x% equals 310.22 of the output value, so we can write it down as x%=310.22.
5. Now we have two simple equations:
1) 100%=1294.39
2) x%=310.22
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%=1294.39/310.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 310.22 is what percent of 1294.39

100%/x%=1294.39/310.22
(100/x)*x=(1294.39/310.22)*x       - we multiply both sides of the equation by x
100=4.1724904906196*x       - we divide both sides of the equation by (4.1724904906196) to get x
100/4.1724904906196=x
23.966501595346=x
x=23.966501595346

now we have:
310.22 is 23.966501595346% of 1294.39