What is 29.56 percent of 3694.25 - 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 3694.25 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 3694.25 is 100%, so we can write it down as 3694.25=100%.
4. We know, that x is 29.56% of the output value, so we can write it down as x=29.56%.
5. Now we have two simple equations:
1) 3694.25=100%
2) x=29.56%
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:
3694.25/x=100%/29.56%
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 29.56% of 3694.25

3694.25/x=100/29.56
(3694.25/x)*x=(100/29.56)*x       - we multiply both sides of the equation by x
3694.25=3.382949932341*x       - we divide both sides of the equation by (3.382949932341) to get x
3694.25/3.382949932341=x
1092.0203=x
x=1092.0203

now we have:
29.56% of 3694.25=1092.0203