What is 7.75 percent of 487.55 - 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 487.55 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 487.55 is 100%, so we can write it down as 487.55=100%.
4. We know, that x is 7.75% of the output value, so we can write it down as x=7.75%.
5. Now we have two simple equations:
1) 487.55=100%
2) x=7.75%
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:
487.55/x=100%/7.75%
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 7.75% of 487.55

487.55/x=100/7.75
(487.55/x)*x=(100/7.75)*x       - we multiply both sides of the equation by x
487.55=12.903225806452*x       - we divide both sides of the equation by (12.903225806452) to get x
487.55/12.903225806452=x
37.785125=x
x=37.785125

now we have:
7.75% of 487.55=37.785125