What is 5.04 percent of 775.55 - 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 775.55 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 775.55 is 100%, so we can write it down as 775.55=100%.
4. We know, that x is 5.04% of the output value, so we can write it down as x=5.04%.
5. Now we have two simple equations:
1) 775.55=100%
2) x=5.04%
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:
775.55/x=100%/5.04%
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 5.04% of 775.55

775.55/x=100/5.04
(775.55/x)*x=(100/5.04)*x       - we multiply both sides of the equation by x
775.55=19.84126984127*x       - we divide both sides of the equation by (19.84126984127) to get x
775.55/19.84126984127=x
39.08772=x
x=39.08772

now we have:
5.04% of 775.55=39.08772