What is 36.5 percent of 42.5 - 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 42.5 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 42.5 is 100%, so we can write it down as 42.5=100%.
4. We know, that x is 36.5% of the output value, so we can write it down as x=36.5%.
5. Now we have two simple equations:
1) 42.5=100%
2) x=36.5%
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:
42.5/x=100%/36.5%
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 36.5% of 42.5

42.5/x=100/36.5
(42.5/x)*x=(100/36.5)*x       - we multiply both sides of the equation by x
42.5=2.7397260273973*x       - we divide both sides of the equation by (2.7397260273973) to get x
42.5/2.7397260273973=x
15.5125=x
x=15.5125

now we have:
36.5% of 42.5=15.5125