11.79 is what percent of 35.37 - 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 35.37 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 35.37, so we can write it down as 100%=35.37.
4. We know, that x% equals 11.79 of the output value, so we can write it down as x%=11.79.
5. Now we have two simple equations:
1) 100%=35.37
2) x%=11.79
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%=35.37/11.79
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.79 is what percent of 35.37

100%/x%=35.37/11.79
(100/x)*x=(35.37/11.79)*x       - we multiply both sides of the equation by x
100=3*x       - we divide both sides of the equation by (3) to get x
100/3=x
33.333333333333=x
x=33.333333333333

now we have:
11.79 is 33.333333333333% of 35.37