51.75 is what percent of 1180 - 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 1180 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 1180, so we can write it down as 100%=1180.
4. We know, that x% equals 51.75 of the output value, so we can write it down as x%=51.75.
5. Now we have two simple equations:
1) 100%=1180
2) x%=51.75
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%=1180/51.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.75 is what percent of 1180

100%/x%=1180/51.75
(100/x)*x=(1180/51.75)*x       - we multiply both sides of the equation by x
100=22.80193236715*x       - we divide both sides of the equation by (22.80193236715) to get x
100/22.80193236715=x
4.385593220339=x
x=4.385593220339

now we have:
51.75 is 4.385593220339% of 1180