1024.84 is what percent of 2000 - 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 2000 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 2000, so we can write it down as 100%=2000.
4. We know, that x% equals 1024.84 of the output value, so we can write it down as x%=1024.84.
5. Now we have two simple equations:
1) 100%=2000
2) x%=1024.84
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%=2000/1024.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1024.84 is what percent of 2000

100%/x%=2000/1024.84
(100/x)*x=(2000/1024.84)*x       - we multiply both sides of the equation by x
100=1.9515241403536*x       - we divide both sides of the equation by (1.9515241403536) to get x
100/1.9515241403536=x
51.242=x
x=51.242

now we have:
1024.84 is 51.242% of 2000