115.42 is what percent of 2579.8 - 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 2579.8 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 2579.8, so we can write it down as 100%=2579.8.
4. We know, that x% equals 115.42 of the output value, so we can write it down as x%=115.42.
5. Now we have two simple equations:
1) 100%=2579.8
2) x%=115.42
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%=2579.8/115.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115.42 is what percent of 2579.8

100%/x%=2579.8/115.42
(100/x)*x=(2579.8/115.42)*x       - we multiply both sides of the equation by x
100=22.351412233582*x       - we divide both sides of the equation by (22.351412233582) to get x
100/22.351412233582=x
4.4739902318009=x
x=4.4739902318009

now we have:
115.42 is 4.4739902318009% of 2579.8