42.59 is what percent of 259 - 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 259 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 259, so we can write it down as 100%=259.
4. We know, that x% equals 42.59 of the output value, so we can write it down as x%=42.59.
5. Now we have two simple equations:
1) 100%=259
2) x%=42.59
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%=259/42.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.59 is what percent of 259

100%/x%=259/42.59
(100/x)*x=(259/42.59)*x       - we multiply both sides of the equation by x
100=6.0812397276356*x       - we divide both sides of the equation by (6.0812397276356) to get x
100/6.0812397276356=x
16.444015444015=x
x=16.444015444015

now we have:
42.59 is 16.444015444015% of 259