2.8 is what percent of 249.6 - 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 249.6 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 249.6, so we can write it down as 100%=249.6.
4. We know, that x% equals 2.8 of the output value, so we can write it down as x%=2.8.
5. Now we have two simple equations:
1) 100%=249.6
2) x%=2.8
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%=249.6/2.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.8 is what percent of 249.6

100%/x%=249.6/2.8
(100/x)*x=(249.6/2.8)*x       - we multiply both sides of the equation by x
100=89.142857142857*x       - we divide both sides of the equation by (89.142857142857) to get x
100/89.142857142857=x
1.1217948717949=x
x=1.1217948717949

now we have:
2.8 is 1.1217948717949% of 249.6