7.7 is what percent of 40.6 - 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 40.6 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 40.6, so we can write it down as 100%=40.6.
4. We know, that x% equals 7.7 of the output value, so we can write it down as x%=7.7.
5. Now we have two simple equations:
1) 100%=40.6
2) x%=7.7
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%=40.6/7.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.7 is what percent of 40.6

100%/x%=40.6/7.7
(100/x)*x=(40.6/7.7)*x       - we multiply both sides of the equation by x
100=5.2727272727273*x       - we divide both sides of the equation by (5.2727272727273) to get x
100/5.2727272727273=x
18.965517241379=x
x=18.965517241379

now we have:
7.7 is 18.965517241379% of 40.6