What is 32.5 percent of 33.74 - 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 33.74 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 33.74 is 100%, so we can write it down as 33.74=100%.
4. We know, that x is 32.5% of the output value, so we can write it down as x=32.5%.
5. Now we have two simple equations:
1) 33.74=100%
2) x=32.5%
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:
33.74/x=100%/32.5%
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 32.5% of 33.74

33.74/x=100/32.5
(33.74/x)*x=(100/32.5)*x       - we multiply both sides of the equation by x
33.74=3.0769230769231*x       - we divide both sides of the equation by (3.0769230769231) to get x
33.74/3.0769230769231=x
10.9655=x
x=10.9655

now we have:
32.5% of 33.74=10.9655