7.89 is what percent of 42.11 - 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 42.11 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 42.11, so we can write it down as 100%=42.11.
4. We know, that x% equals 7.89 of the output value, so we can write it down as x%=7.89.
5. Now we have two simple equations:
1) 100%=42.11
2) x%=7.89
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%=42.11/7.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.89 is what percent of 42.11

100%/x%=42.11/7.89
(100/x)*x=(42.11/7.89)*x       - we multiply both sides of the equation by x
100=5.3371356147022*x       - we divide both sides of the equation by (5.3371356147022) to get x
100/5.3371356147022=x
18.736642127761=x
x=18.736642127761

now we have:
7.89 is 18.736642127761% of 42.11