What is 93.6 percent of 33.86 - 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 33.86 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 33.86 is 100%, so we can write it down as 33.86=100%.
4. We know, that x is 93.6% of the output value, so we can write it down as x=93.6%.
5. Now we have two simple equations:
1) 33.86=100%
2) x=93.6%
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:
33.86/x=100%/93.6%
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 93.6% of 33.86

33.86/x=100/93.6
(33.86/x)*x=(100/93.6)*x       - we multiply both sides of the equation by x
33.86=1.0683760683761*x       - we divide both sides of the equation by (1.0683760683761) to get x
33.86/1.0683760683761=x
31.69296=x
x=31.69296

now we have:
93.6% of 33.86=31.69296