What is 2.66 percent of 3.65 - 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 3.65 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 3.65 is 100%, so we can write it down as 3.65=100%.
4. We know, that x is 2.66% of the output value, so we can write it down as x=2.66%.
5. Now we have two simple equations:
1) 3.65=100%
2) x=2.66%
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:
3.65/x=100%/2.66%
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 2.66% of 3.65

3.65/x=100/2.66
(3.65/x)*x=(100/2.66)*x       - we multiply both sides of the equation by x
3.65=37.593984962406*x       - we divide both sides of the equation by (37.593984962406) to get x
3.65/37.593984962406=x
0.09709=x
x=0.09709

now we have:
2.66% of 3.65=0.09709