159.16 is what percent of 259.16 - 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 259.16 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 259.16, so we can write it down as 100%=259.16.
4. We know, that x% equals 159.16 of the output value, so we can write it down as x%=159.16.
5. Now we have two simple equations:
1) 100%=259.16
2) x%=159.16
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%=259.16/159.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.16 is what percent of 259.16

100%/x%=259.16/159.16
(100/x)*x=(259.16/159.16)*x       - we multiply both sides of the equation by x
100=1.6282985674793*x       - we divide both sides of the equation by (1.6282985674793) to get x
100/1.6282985674793=x
61.413798425683=x
x=61.413798425683

now we have:
159.16 is 61.413798425683% of 259.16