255.6 is what percent of 1051.6 - 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 1051.6 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 1051.6, so we can write it down as 100%=1051.6.
4. We know, that x% equals 255.6 of the output value, so we can write it down as x%=255.6.
5. Now we have two simple equations:
1) 100%=1051.6
2) x%=255.6
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%=1051.6/255.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255.6 is what percent of 1051.6

100%/x%=1051.6/255.6
(100/x)*x=(1051.6/255.6)*x       - we multiply both sides of the equation by x
100=4.1142410015649*x       - we divide both sides of the equation by (4.1142410015649) to get x
100/4.1142410015649=x
24.305819703309=x
x=24.305819703309

now we have:
255.6 is 24.305819703309% of 1051.6