2699.28 is what percent of 1049.72 - 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 1049.72 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 1049.72, so we can write it down as 100%=1049.72.
4. We know, that x% equals 2699.28 of the output value, so we can write it down as x%=2699.28.
5. Now we have two simple equations:
1) 100%=1049.72
2) x%=2699.28
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%=1049.72/2699.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2699.28 is what percent of 1049.72

100%/x%=1049.72/2699.28
(100/x)*x=(1049.72/2699.28)*x       - we multiply both sides of the equation by x
100=0.38888888888889*x       - we divide both sides of the equation by (0.38888888888889) to get x
100/0.38888888888889=x
257.14285714286=x
x=257.14285714286

now we have:
2699.28 is 257.14285714286% of 1049.72