7.89 is what percent of 46.11 - 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 46.11 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 46.11, so we can write it down as 100%=46.11.
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%=46.11
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%=46.11/7.89
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 46.11

100%/x%=46.11/7.89
(100/x)*x=(46.11/7.89)*x       - we multiply both sides of the equation by x
100=5.8441064638783*x       - we divide both sides of the equation by (5.8441064638783) to get x
100/5.8441064638783=x
17.111255692908=x
x=17.111255692908

now we have:
7.89 is 17.111255692908% of 46.11