319.66 is what percent of 979.5 - 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 979.5 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 979.5, so we can write it down as 100%=979.5.
4. We know, that x% equals 319.66 of the output value, so we can write it down as x%=319.66.
5. Now we have two simple equations:
1) 100%=979.5
2) x%=319.66
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%=979.5/319.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 319.66 is what percent of 979.5

100%/x%=979.5/319.66
(100/x)*x=(979.5/319.66)*x       - we multiply both sides of the equation by x
100=3.0641932052806*x       - we divide both sides of the equation by (3.0641932052806) to get x
100/3.0641932052806=x
32.635017866258=x
x=32.635017866258

now we have:
319.66 is 32.635017866258% of 979.5