What is 22.25 percent of 33.82 - 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 33.82 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 33.82 is 100%, so we can write it down as 33.82=100%.
4. We know, that x is 22.25% of the output value, so we can write it down as x=22.25%.
5. Now we have two simple equations:
1) 33.82=100%
2) x=22.25%
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:
33.82/x=100%/22.25%
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 22.25% of 33.82

33.82/x=100/22.25
(33.82/x)*x=(100/22.25)*x       - we multiply both sides of the equation by x
33.82=4.4943820224719*x       - we divide both sides of the equation by (4.4943820224719) to get x
33.82/4.4943820224719=x
7.52495=x
x=7.52495

now we have:
22.25% of 33.82=7.52495