6.77 is what percent of 75.25 - 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 75.25 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 75.25, so we can write it down as 100%=75.25.
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%=75.25
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%=75.25/6.77
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 75.25

100%/x%=75.25/6.77
(100/x)*x=(75.25/6.77)*x       - we multiply both sides of the equation by x
100=11.115214180207*x       - we divide both sides of the equation by (11.115214180207) to get x
100/11.115214180207=x
8.9966777408638=x
x=8.9966777408638

now we have:
6.77 is 8.9966777408638% of 75.25