205.24 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 205.24 of the output value, so we can write it down as x%=205.24.
5. Now we have two simple equations:
1) 100%=2000
2) x%=205.24
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%=2000/205.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 205.24 is what percent of 2000

100%/x%=2000/205.24
(100/x)*x=(2000/205.24)*x       - we multiply both sides of the equation by x
100=9.7446891444163*x       - we divide both sides of the equation by (9.7446891444163) to get x
100/9.7446891444163=x
10.262=x
x=10.262

now we have:
205.24 is 10.262% of 2000