259.59 is what percent of 109 - 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 109 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 109, so we can write it down as 100%=109.
4. We know, that x% equals 259.59 of the output value, so we can write it down as x%=259.59.
5. Now we have two simple equations:
1) 100%=109
2) x%=259.59
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%=109/259.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 259.59 is what percent of 109

100%/x%=109/259.59
(100/x)*x=(109/259.59)*x       - we multiply both sides of the equation by x
100=0.41989290804731*x       - we divide both sides of the equation by (0.41989290804731) to get x
100/0.41989290804731=x
238.15596330275=x
x=238.15596330275

now we have:
259.59 is 238.15596330275% of 109