What is 33.702 percent of 117.82 - 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 117.82 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 117.82 is 100%, so we can write it down as 117.82=100%.
4. We know, that x is 33.702% of the output value, so we can write it down as x=33.702%.
5. Now we have two simple equations:
1) 117.82=100%
2) x=33.702%
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:
117.82/x=100%/33.702%
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 33.702% of 117.82

117.82/x=100/33.702
(117.82/x)*x=(100/33.702)*x       - we multiply both sides of the equation by x
117.82=2.9671829565011*x       - we divide both sides of the equation by (2.9671829565011) to get x
117.82/2.9671829565011=x
39.7076964=x
x=39.7076964

now we have:
33.702% of 117.82=39.7076964