319.74 is what percent of 1291.83 - 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 1291.83 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 1291.83, so we can write it down as 100%=1291.83.
4. We know, that x% equals 319.74 of the output value, so we can write it down as x%=319.74.
5. Now we have two simple equations:
1) 100%=1291.83
2) x%=319.74
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%=1291.83/319.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 319.74 is what percent of 1291.83

100%/x%=1291.83/319.74
(100/x)*x=(1291.83/319.74)*x       - we multiply both sides of the equation by x
100=4.0402514543066*x       - we divide both sides of the equation by (4.0402514543066) to get x
100/4.0402514543066=x
24.750934720513=x
x=24.750934720513

now we have:
319.74 is 24.750934720513% of 1291.83