8 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 8 of the output value, so we can write it down as x%=8.
5. Now we have two simple equations:
1) 100%=259
2) x%=8
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%=259/8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8 is what percent of 259

100%/x%=259/8
(100/x)*x=(259/8)*x       - we multiply both sides of the equation by x
100=32.375*x       - we divide both sides of the equation by (32.375) to get x
100/32.375=x
3.0888030888=x
x=3.0888030888

now we have:
8 is 3.0888030888% of 259