What is 36.25 percent of 40.25 - 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 40.25 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 40.25 is 100%, so we can write it down as 40.25=100%.
4. We know, that x is 36.25% of the output value, so we can write it down as x=36.25%.
5. Now we have two simple equations:
1) 40.25=100%
2) x=36.25%
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:
40.25/x=100%/36.25%
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 36.25% of 40.25

40.25/x=100/36.25
(40.25/x)*x=(100/36.25)*x       - we multiply both sides of the equation by x
40.25=2.7586206896552*x       - we divide both sides of the equation by (2.7586206896552) to get x
40.25/2.7586206896552=x
14.590625=x
x=14.590625

now we have:
36.25% of 40.25=14.590625