What is 33.33 percent of 106.7 - 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 106.7 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 106.7 is 100%, so we can write it down as 106.7=100%.
4. We know, that x is 33.33% of the output value, so we can write it down as x=33.33%.
5. Now we have two simple equations:
1) 106.7=100%
2) x=33.33%
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:
106.7/x=100%/33.33%
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 33.33% of 106.7

106.7/x=100/33.33
(106.7/x)*x=(100/33.33)*x       - we multiply both sides of the equation by x
106.7=3.000300030003*x       - we divide both sides of the equation by (3.000300030003) to get x
106.7/3.000300030003=x
35.56311=x
x=35.56311

now we have:
33.33% of 106.7=35.56311