6.77 is what percent of 11.95 - 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 11.95 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 11.95, so we can write it down as 100%=11.95.
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%=11.95
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%=11.95/6.77
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 11.95

100%/x%=11.95/6.77
(100/x)*x=(11.95/6.77)*x       - we multiply both sides of the equation by x
100=1.7651403249631*x       - we divide both sides of the equation by (1.7651403249631) to get x
100/1.7651403249631=x
56.652719665272=x
x=56.652719665272

now we have:
6.77 is 56.652719665272% of 11.95