513.31 is what percent of 1316 - 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 1316 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 1316, so we can write it down as 100%=1316.
4. We know, that x% equals 513.31 of the output value, so we can write it down as x%=513.31.
5. Now we have two simple equations:
1) 100%=1316
2) x%=513.31
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%=1316/513.31
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 513.31 is what percent of 1316

100%/x%=1316/513.31
(100/x)*x=(1316/513.31)*x       - we multiply both sides of the equation by x
100=2.563752897859*x       - we divide both sides of the equation by (2.563752897859) to get x
100/2.563752897859=x
39.005319148936=x
x=39.005319148936

now we have:
513.31 is 39.005319148936% of 1316