127.4 is what percent of 2597.2 - 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 2597.2 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 2597.2, so we can write it down as 100%=2597.2.
4. We know, that x% equals 127.4 of the output value, so we can write it down as x%=127.4.
5. Now we have two simple equations:
1) 100%=2597.2
2) x%=127.4
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%=2597.2/127.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 127.4 is what percent of 2597.2

100%/x%=2597.2/127.4
(100/x)*x=(2597.2/127.4)*x       - we multiply both sides of the equation by x
100=20.386185243328*x       - we divide both sides of the equation by (20.386185243328) to get x
100/20.386185243328=x
4.9052826120437=x
x=4.9052826120437

now we have:
127.4 is 4.9052826120437% of 2597.2