What is 3.69 percent of 2.59 - 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 2.59 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 2.59 is 100%, so we can write it down as 2.59=100%.
4. We know, that x is 3.69% of the output value, so we can write it down as x=3.69%.
5. Now we have two simple equations:
1) 2.59=100%
2) x=3.69%
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:
2.59/x=100%/3.69%
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 3.69% of 2.59

2.59/x=100/3.69
(2.59/x)*x=(100/3.69)*x       - we multiply both sides of the equation by x
2.59=27.10027100271*x       - we divide both sides of the equation by (27.10027100271) to get x
2.59/27.10027100271=x
0.095571=x
x=0.095571

now we have:
3.69% of 2.59=0.095571