What is 42.25 percent of 32.5 - 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 32.5 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 32.5 is 100%, so we can write it down as 32.5=100%.
4. We know, that x is 42.25% of the output value, so we can write it down as x=42.25%.
5. Now we have two simple equations:
1) 32.5=100%
2) x=42.25%
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:
32.5/x=100%/42.25%
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 42.25% of 32.5

32.5/x=100/42.25
(32.5/x)*x=(100/42.25)*x       - we multiply both sides of the equation by x
32.5=2.3668639053254*x       - we divide both sides of the equation by (2.3668639053254) to get x
32.5/2.3668639053254=x
13.73125=x
x=13.73125

now we have:
42.25% of 32.5=13.73125