What is 3.79 percent of 3.825 - 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 3.825 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 3.825 is 100%, so we can write it down as 3.825=100%.
4. We know, that x is 3.79% of the output value, so we can write it down as x=3.79%.
5. Now we have two simple equations:
1) 3.825=100%
2) x=3.79%
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:
3.825/x=100%/3.79%
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 3.79% of 3.825

3.825/x=100/3.79
(3.825/x)*x=(100/3.79)*x       - we multiply both sides of the equation by x
3.825=26.385224274406*x       - we divide both sides of the equation by (26.385224274406) to get x
3.825/26.385224274406=x
0.1449675=x
x=0.1449675

now we have:
3.79% of 3.825=0.1449675