7.66 is what percent of 35.92 - 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 35.92 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 35.92, so we can write it down as 100%=35.92.
4. We know, that x% equals 7.66 of the output value, so we can write it down as x%=7.66.
5. Now we have two simple equations:
1) 100%=35.92
2) x%=7.66
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%=35.92/7.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.66 is what percent of 35.92

100%/x%=35.92/7.66
(100/x)*x=(35.92/7.66)*x       - we multiply both sides of the equation by x
100=4.6892950391645*x       - we divide both sides of the equation by (4.6892950391645) to get x
100/4.6892950391645=x
21.325167037862=x
x=21.325167037862

now we have:
7.66 is 21.325167037862% of 35.92