6.77 is what percent of 6.625 - 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 6.625 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 100% equals 6.625, so we can write it down as 100%=6.625.
4. We know, that x% equals 6.77 of the output value, so we can write it down as x%=6.77.
5. Now we have two simple equations:
1) 100%=6.625
2) x%=6.77
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:
100%/x%=6.625/6.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.77 is what percent of 6.625

100%/x%=6.625/6.77
(100/x)*x=(6.625/6.77)*x       - we multiply both sides of the equation by x
100=0.97858197932053*x       - we divide both sides of the equation by (0.97858197932053) to get x
100/0.97858197932053=x
102.18867924528=x
x=102.18867924528

now we have:
6.77 is 102.18867924528% of 6.625