255.04 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 255.04 of the output value, so we can write it down as x%=255.04.
5. Now we have two simple equations:
1) 100%=2000
2) x%=255.04
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%=2000/255.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255.04 is what percent of 2000

100%/x%=2000/255.04
(100/x)*x=(2000/255.04)*x       - we multiply both sides of the equation by x
100=7.8419071518193*x       - we divide both sides of the equation by (7.8419071518193) to get x
100/7.8419071518193=x
12.752=x
x=12.752

now we have:
255.04 is 12.752% of 2000