11.59 is what percent of 63.95 - 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 63.95 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 63.95, so we can write it down as 100%=63.95.
4. We know, that x% equals 11.59 of the output value, so we can write it down as x%=11.59.
5. Now we have two simple equations:
1) 100%=63.95
2) x%=11.59
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%=63.95/11.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.59 is what percent of 63.95

100%/x%=63.95/11.59
(100/x)*x=(63.95/11.59)*x       - we multiply both sides of the equation by x
100=5.5176876617774*x       - we divide both sides of the equation by (5.5176876617774) to get x
100/5.5176876617774=x
18.123534010946=x
x=18.123534010946

now we have:
11.59 is 18.123534010946% of 63.95