166.08 is what percent of 259.63 - 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 259.63 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 259.63, so we can write it down as 100%=259.63.
4. We know, that x% equals 166.08 of the output value, so we can write it down as x%=166.08.
5. Now we have two simple equations:
1) 100%=259.63
2) x%=166.08
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%=259.63/166.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 166.08 is what percent of 259.63

100%/x%=259.63/166.08
(100/x)*x=(259.63/166.08)*x       - we multiply both sides of the equation by x
100=1.5632827552987*x       - we divide both sides of the equation by (1.5632827552987) to get x
100/1.5632827552987=x
63.967954396641=x
x=63.967954396641

now we have:
166.08 is 63.967954396641% of 259.63