What is 68.8 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 68.8% of the output value, so we can write it down as x=68.8%.
5. Now we have two simple equations:
1) 7.77=100%
2) x=68.8%
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%/68.8%
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 68.8% of 7.77

7.77/x=100/68.8
(7.77/x)*x=(100/68.8)*x       - we multiply both sides of the equation by x
7.77=1.453488372093*x       - we divide both sides of the equation by (1.453488372093) to get x
7.77/1.453488372093=x
5.34576=x
x=5.34576

now we have:
68.8% of 7.77=5.34576