66.2 is what percent of 79 - 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 79 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 79, so we can write it down as 100%=79.
4. We know, that x% equals 66.2 of the output value, so we can write it down as x%=66.2.
5. Now we have two simple equations:
1) 100%=79
2) x%=66.2
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%=79/66.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.2 is what percent of 79

100%/x%=79/66.2
(100/x)*x=(79/66.2)*x       - we multiply both sides of the equation by x
100=1.1933534743202*x       - we divide both sides of the equation by (1.1933534743202) to get x
100/1.1933534743202=x
83.79746835443=x
x=83.79746835443

now we have:
66.2 is 83.79746835443% of 79