251.18 is what percent of 1178.36 - 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 1178.36 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 1178.36, so we can write it down as 100%=1178.36.
4. We know, that x% equals 251.18 of the output value, so we can write it down as x%=251.18.
5. Now we have two simple equations:
1) 100%=1178.36
2) x%=251.18
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%=1178.36/251.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 251.18 is what percent of 1178.36

100%/x%=1178.36/251.18
(100/x)*x=(1178.36/251.18)*x       - we multiply both sides of the equation by x
100=4.6912970777928*x       - we divide both sides of the equation by (4.6912970777928) to get x
100/4.6912970777928=x
21.316066397366=x
x=21.316066397366

now we have:
251.18 is 21.316066397366% of 1178.36