What is 5.25 percent of 7.77 - 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 7.77 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 7.77 is 100%, so we can write it down as 7.77=100%.
4. We know, that x is 5.25% of the output value, so we can write it down as x=5.25%.
5. Now we have two simple equations:
1) 7.77=100%
2) x=5.25%
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:
7.77/x=100%/5.25%
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 5.25% of 7.77

7.77/x=100/5.25
(7.77/x)*x=(100/5.25)*x       - we multiply both sides of the equation by x
7.77=19.047619047619*x       - we divide both sides of the equation by (19.047619047619) to get x
7.77/19.047619047619=x
0.407925=x
x=0.407925

now we have:
5.25% of 7.77=0.407925