6.67 is what percent of 80.77 - 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 80.77 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 100% equals 80.77, so we can write it down as 100%=80.77.
4. We know, that x% equals 6.67 of the output value, so we can write it down as x%=6.67.
5. Now we have two simple equations:
1) 100%=80.77
2) x%=6.67
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%=80.77/6.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.67 is what percent of 80.77

100%/x%=80.77/6.67
(100/x)*x=(80.77/6.67)*x       - we multiply both sides of the equation by x
100=12.109445277361*x       - we divide both sides of the equation by (12.109445277361) to get x
100/12.109445277361=x
8.2580165903182=x
x=8.2580165903182

now we have:
6.67 is 8.2580165903182% of 80.77