What is 33.3334 percent of 36 - 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 36 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 36 is 100%, so we can write it down as 36=100%.
4. We know, that x is 33.3334% of the output value, so we can write it down as x=33.3334%.
5. Now we have two simple equations:
1) 36=100%
2) x=33.3334%
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:
36/x=100%/33.3334%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 33.3334% of 36

36/x=100/33.3334
(36/x)*x=(100/33.3334)*x       - we multiply both sides of the equation by x
36=2.999994000012*x       - we divide both sides of the equation by (2.999994000012) to get x
36/2.999994000012=x
12.000024=x
x=12.000024

now we have:
33.3334% of 36=12.000024