253.8 is what percent of 1291.8 - 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 1291.8 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 1291.8, so we can write it down as 100%=1291.8.
4. We know, that x% equals 253.8 of the output value, so we can write it down as x%=253.8.
5. Now we have two simple equations:
1) 100%=1291.8
2) x%=253.8
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%=1291.8/253.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 253.8 is what percent of 1291.8

100%/x%=1291.8/253.8
(100/x)*x=(1291.8/253.8)*x       - we multiply both sides of the equation by x
100=5.0898345153664*x       - we divide both sides of the equation by (5.0898345153664) to get x
100/5.0898345153664=x
19.647004180214=x
x=19.647004180214

now we have:
253.8 is 19.647004180214% of 1291.8