What is 13.010842368641 percent of 6.77 - 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 6.77 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 6.77 is 100%, so we can write it down as 6.77=100%.
4. We know, that x is 13.010842368641% of the output value, so we can write it down as x=13.010842368641%.
5. Now we have two simple equations:
1) 6.77=100%
2) x=13.010842368641%
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:
6.77/x=100%/13.010842368641%
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 13.010842368641% of 6.77

6.77/x=100/13.010842368641
(6.77/x)*x=(100/13.010842368641)*x       - we multiply both sides of the equation by x
6.77=7.6858974358972*x       - we divide both sides of the equation by (7.6858974358972) to get x
6.77/7.6858974358972=x
0.880834028357=x
x=0.880834028357

now we have:
13.010842368641% of 6.77=0.880834028357