What is 3.25 percent of 33.5 - 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 33.5 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 33.5 is 100%, so we can write it down as 33.5=100%.
4. We know, that x is 3.25% of the output value, so we can write it down as x=3.25%.
5. Now we have two simple equations:
1) 33.5=100%
2) x=3.25%
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:
33.5/x=100%/3.25%
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 3.25% of 33.5

33.5/x=100/3.25
(33.5/x)*x=(100/3.25)*x       - we multiply both sides of the equation by x
33.5=30.769230769231*x       - we divide both sides of the equation by (30.769230769231) to get x
33.5/30.769230769231=x
1.08875=x
x=1.08875

now we have:
3.25% of 33.5=1.08875