What is 3.75 percent of 106.35 - 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 106.35 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 106.35 is 100%, so we can write it down as 106.35=100%.
4. We know, that x is 3.75% of the output value, so we can write it down as x=3.75%.
5. Now we have two simple equations:
1) 106.35=100%
2) x=3.75%
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:
106.35/x=100%/3.75%
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 3.75% of 106.35

106.35/x=100/3.75
(106.35/x)*x=(100/3.75)*x       - we multiply both sides of the equation by x
106.35=26.666666666667*x       - we divide both sides of the equation by (26.666666666667) to get x
106.35/26.666666666667=x
3.988125=x
x=3.988125

now we have:
3.75% of 106.35=3.988125