162.5 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 162.5 of the output value, so we can write it down as x%=162.5.
5. Now we have two simple equations:
1) 100%=259
2) x%=162.5
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%=259/162.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 162.5 is what percent of 259

100%/x%=259/162.5
(100/x)*x=(259/162.5)*x       - we multiply both sides of the equation by x
100=1.5938461538462*x       - we divide both sides of the equation by (1.5938461538462) to get x
100/1.5938461538462=x
62.741312741313=x
x=62.741312741313

now we have:
162.5 is 62.741312741313% of 259