316.8 is what percent of 1257.2 - 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 1257.2 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 1257.2, so we can write it down as 100%=1257.2.
4. We know, that x% equals 316.8 of the output value, so we can write it down as x%=316.8.
5. Now we have two simple equations:
1) 100%=1257.2
2) x%=316.8
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%=1257.2/316.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 316.8 is what percent of 1257.2

100%/x%=1257.2/316.8
(100/x)*x=(1257.2/316.8)*x       - we multiply both sides of the equation by x
100=3.9684343434343*x       - we divide both sides of the equation by (3.9684343434343) to get x
100/3.9684343434343=x
25.198854597518=x
x=25.198854597518

now we have:
316.8 is 25.198854597518% of 1257.2