16.59 is what percent of 11.85 - 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 11.85 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 11.85, so we can write it down as 100%=11.85.
4. We know, that x% equals 16.59 of the output value, so we can write it down as x%=16.59.
5. Now we have two simple equations:
1) 100%=11.85
2) x%=16.59
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%=11.85/16.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 16.59 is what percent of 11.85

100%/x%=11.85/16.59
(100/x)*x=(11.85/16.59)*x       - we multiply both sides of the equation by x
100=0.71428571428571*x       - we divide both sides of the equation by (0.71428571428571) to get x
100/0.71428571428571=x
140=x
x=140

now we have:
16.59 is 140% of 11.85