7.67 is what percent of 39.8 - 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 39.8 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 39.8, so we can write it down as 100%=39.8.
4. We know, that x% equals 7.67 of the output value, so we can write it down as x%=7.67.
5. Now we have two simple equations:
1) 100%=39.8
2) x%=7.67
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%=39.8/7.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.67 is what percent of 39.8

100%/x%=39.8/7.67
(100/x)*x=(39.8/7.67)*x       - we multiply both sides of the equation by x
100=5.1890482398957*x       - we divide both sides of the equation by (5.1890482398957) to get x
100/5.1890482398957=x
19.27135678392=x
x=19.27135678392

now we have:
7.67 is 19.27135678392% of 39.8