7.74 is what percent of 37.99 - 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 37.99 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 37.99, so we can write it down as 100%=37.99.
4. We know, that x% equals 7.74 of the output value, so we can write it down as x%=7.74.
5. Now we have two simple equations:
1) 100%=37.99
2) x%=7.74
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%=37.99/7.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.74 is what percent of 37.99

100%/x%=37.99/7.74
(100/x)*x=(37.99/7.74)*x       - we multiply both sides of the equation by x
100=4.9082687338501*x       - we divide both sides of the equation by (4.9082687338501) to get x
100/4.9082687338501=x
20.373782574362=x
x=20.373782574362

now we have:
7.74 is 20.373782574362% of 37.99