What is 6.69 percent of 36.66 - 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 36.66 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 36.66 is 100%, so we can write it down as 36.66=100%.
4. We know, that x is 6.69% of the output value, so we can write it down as x=6.69%.
5. Now we have two simple equations:
1) 36.66=100%
2) x=6.69%
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:
36.66/x=100%/6.69%
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 6.69% of 36.66

36.66/x=100/6.69
(36.66/x)*x=(100/6.69)*x       - we multiply both sides of the equation by x
36.66=14.947683109118*x       - we divide both sides of the equation by (14.947683109118) to get x
36.66/14.947683109118=x
2.452554=x
x=2.452554

now we have:
6.69% of 36.66=2.452554