6.6 is what percent of 7.9 - 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 7.9 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 7.9, so we can write it down as 100%=7.9.
4. We know, that x% equals 6.6 of the output value, so we can write it down as x%=6.6.
5. Now we have two simple equations:
1) 100%=7.9
2) x%=6.6
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%=7.9/6.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.6 is what percent of 7.9

100%/x%=7.9/6.6
(100/x)*x=(7.9/6.6)*x       - we multiply both sides of the equation by x
100=1.1969696969697*x       - we divide both sides of the equation by (1.1969696969697) to get x
100/1.1969696969697=x
83.544303797468=x
x=83.544303797468

now we have:
6.6 is 83.544303797468% of 7.9