1002.1 is what percent of 2509.19 - 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 2509.19 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 2509.19, so we can write it down as 100%=2509.19.
4. We know, that x% equals 1002.1 of the output value, so we can write it down as x%=1002.1.
5. Now we have two simple equations:
1) 100%=2509.19
2) x%=1002.1
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%=2509.19/1002.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1002.1 is what percent of 2509.19

100%/x%=2509.19/1002.1
(100/x)*x=(2509.19/1002.1)*x       - we multiply both sides of the equation by x
100=2.503931743339*x       - we divide both sides of the equation by (2.503931743339) to get x
100/2.503931743339=x
39.937190886302=x
x=39.937190886302

now we have:
1002.1 is 39.937190886302% of 2509.19