259.54 is what percent of 360.43 - 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 360.43 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 360.43, so we can write it down as 100%=360.43.
4. We know, that x% equals 259.54 of the output value, so we can write it down as x%=259.54.
5. Now we have two simple equations:
1) 100%=360.43
2) x%=259.54
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%=360.43/259.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 259.54 is what percent of 360.43

100%/x%=360.43/259.54
(100/x)*x=(360.43/259.54)*x       - we multiply both sides of the equation by x
100=1.3887262079063*x       - we divide both sides of the equation by (1.3887262079063) to get x
100/1.3887262079063=x
72.008434370058=x
x=72.008434370058

now we have:
259.54 is 72.008434370058% of 360.43