2012.5 is what percent of 2490 - 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 2490 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 2490, so we can write it down as 100%=2490.
4. We know, that x% equals 2012.5 of the output value, so we can write it down as x%=2012.5.
5. Now we have two simple equations:
1) 100%=2490
2) x%=2012.5
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%=2490/2012.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2012.5 is what percent of 2490

100%/x%=2490/2012.5
(100/x)*x=(2490/2012.5)*x       - we multiply both sides of the equation by x
100=1.2372670807453*x       - we divide both sides of the equation by (1.2372670807453) to get x
100/1.2372670807453=x
80.823293172691=x
x=80.823293172691

now we have:
2012.5 is 80.823293172691% of 2490