What is 45.52 percent of 65.25 - 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 65.25 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 65.25 is 100%, so we can write it down as 65.25=100%.
4. We know, that x is 45.52% of the output value, so we can write it down as x=45.52%.
5. Now we have two simple equations:
1) 65.25=100%
2) x=45.52%
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:
65.25/x=100%/45.52%
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 45.52% of 65.25

65.25/x=100/45.52
(65.25/x)*x=(100/45.52)*x       - we multiply both sides of the equation by x
65.25=2.1968365553603*x       - we divide both sides of the equation by (2.1968365553603) to get x
65.25/2.1968365553603=x
29.7018=x
x=29.7018

now we have:
45.52% of 65.25=29.7018