308.1 is what percent of 317 - 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 317 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 317, so we can write it down as 100%=317.
4. We know, that x% equals 308.1 of the output value, so we can write it down as x%=308.1.
5. Now we have two simple equations:
1) 100%=317
2) x%=308.1
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%=317/308.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 308.1 is what percent of 317

100%/x%=317/308.1
(100/x)*x=(317/308.1)*x       - we multiply both sides of the equation by x
100=1.0288867250893*x       - we divide both sides of the equation by (1.0288867250893) to get x
100/1.0288867250893=x
97.192429022082=x
x=97.192429022082

now we have:
308.1 is 97.192429022082% of 317