6.66666 is what percent of 7 - 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 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, so we can write it down as 100%=7.
4. We know, that x% equals 6.66666 of the output value, so we can write it down as x%=6.66666.
5. Now we have two simple equations:
1) 100%=7
2) x%=6.66666
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%=7/6.66666
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.66666 is what percent of 7

100%/x%=7/6.66666
(100/x)*x=(7/6.66666)*x       - we multiply both sides of the equation by x
100=1.050001050001*x       - we divide both sides of the equation by (1.050001050001) to get x
100/1.050001050001=x
95.238=x
x=95.238

now we have:
6.66666 is 95.238% of 7