What is 7.73 percent of 78.125 - 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 78.125 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 78.125 is 100%, so we can write it down as 78.125=100%.
4. We know, that x is 7.73% of the output value, so we can write it down as x=7.73%.
5. Now we have two simple equations:
1) 78.125=100%
2) x=7.73%
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:
78.125/x=100%/7.73%
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 7.73% of 78.125

78.125/x=100/7.73
(78.125/x)*x=(100/7.73)*x       - we multiply both sides of the equation by x
78.125=12.936610608021*x       - we divide both sides of the equation by (12.936610608021) to get x
78.125/12.936610608021=x
6.0390625=x
x=6.0390625

now we have:
7.73% of 78.125=6.0390625