313.75 is what percent of 2356.2 - 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 2356.2 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 2356.2, so we can write it down as 100%=2356.2.
4. We know, that x% equals 313.75 of the output value, so we can write it down as x%=313.75.
5. Now we have two simple equations:
1) 100%=2356.2
2) x%=313.75
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%=2356.2/313.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 313.75 is what percent of 2356.2

100%/x%=2356.2/313.75
(100/x)*x=(2356.2/313.75)*x       - we multiply both sides of the equation by x
100=7.5098007968127*x       - we divide both sides of the equation by (7.5098007968127) to get x
100/7.5098007968127=x
13.315932433579=x
x=13.315932433579

now we have:
313.75 is 13.315932433579% of 2356.2