7.88 is what percent of 38.42 - 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 38.42 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 38.42, so we can write it down as 100%=38.42.
4. We know, that x% equals 7.88 of the output value, so we can write it down as x%=7.88.
5. Now we have two simple equations:
1) 100%=38.42
2) x%=7.88
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%=38.42/7.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.88 is what percent of 38.42

100%/x%=38.42/7.88
(100/x)*x=(38.42/7.88)*x       - we multiply both sides of the equation by x
100=4.8756345177665*x       - we divide both sides of the equation by (4.8756345177665) to get x
100/4.8756345177665=x
20.51015096304=x
x=20.51015096304

now we have:
7.88 is 20.51015096304% of 38.42