309.9 is what percent of 316.26 - 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 316.26 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 316.26, so we can write it down as 100%=316.26.
4. We know, that x% equals 309.9 of the output value, so we can write it down as x%=309.9.
5. Now we have two simple equations:
1) 100%=316.26
2) x%=309.9
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%=316.26/309.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 309.9 is what percent of 316.26

100%/x%=316.26/309.9
(100/x)*x=(316.26/309.9)*x       - we multiply both sides of the equation by x
100=1.020522749274*x       - we divide both sides of the equation by (1.020522749274) to get x
100/1.020522749274=x
97.988996395371=x
x=97.988996395371

now we have:
309.9 is 97.988996395371% of 316.26