85 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 85 of the output value, so we can write it down as x%=85.
5. Now we have two simple equations:
1) 100%=259
2) x%=85
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%=259/85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85 is what percent of 259

100%/x%=259/85
(100/x)*x=(259/85)*x       - we multiply both sides of the equation by x
100=3.0470588235294*x       - we divide both sides of the equation by (3.0470588235294) to get x
100/3.0470588235294=x
32.818532818533=x
x=32.818532818533

now we have:
85 is 32.818532818533% of 259