1011.44 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 1011.44 of the output value, so we can write it down as x%=1011.44.
5. Now we have two simple equations:
1) 100%=2000
2) x%=1011.44
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%=2000/1011.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1011.44 is what percent of 2000

100%/x%=2000/1011.44
(100/x)*x=(2000/1011.44)*x       - we multiply both sides of the equation by x
100=1.9773787866804*x       - we divide both sides of the equation by (1.9773787866804) to get x
100/1.9773787866804=x
50.572=x
x=50.572

now we have:
1011.44 is 50.572% of 2000