165.55 is what percent of 259.65 - 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 259.65 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 259.65, so we can write it down as 100%=259.65.
4. We know, that x% equals 165.55 of the output value, so we can write it down as x%=165.55.
5. Now we have two simple equations:
1) 100%=259.65
2) x%=165.55
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%=259.65/165.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.55 is what percent of 259.65

100%/x%=259.65/165.55
(100/x)*x=(259.65/165.55)*x       - we multiply both sides of the equation by x
100=1.5684083358502*x       - we divide both sides of the equation by (1.5684083358502) to get x
100/1.5684083358502=x
63.758906219911=x
x=63.758906219911

now we have:
165.55 is 63.758906219911% of 259.65