578.71 is what percent of 1130 - 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 1130 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 1130, so we can write it down as 100%=1130.
4. We know, that x% equals 578.71 of the output value, so we can write it down as x%=578.71.
5. Now we have two simple equations:
1) 100%=1130
2) x%=578.71
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%=1130/578.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 578.71 is what percent of 1130

100%/x%=1130/578.71
(100/x)*x=(1130/578.71)*x       - we multiply both sides of the equation by x
100=1.9526187555079*x       - we divide both sides of the equation by (1.9526187555079) to get x
100/1.9526187555079=x
51.213274336283=x
x=51.213274336283

now we have:
578.71 is 51.213274336283% of 1130