9 is what percent of 46.8 - 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 46.8 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 46.8, so we can write it down as 100%=46.8.
4. We know, that x% equals 9 of the output value, so we can write it down as x%=9.
5. Now we have two simple equations:
1) 100%=46.8
2) x%=9
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%=46.8/9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9 is what percent of 46.8

100%/x%=46.8/9
(100/x)*x=(46.8/9)*x       - we multiply both sides of the equation by x
100=5.2*x       - we divide both sides of the equation by (5.2) to get x
100/5.2=x
19.230769230769=x
x=19.230769230769

now we have:
9 is 19.230769230769% of 46.8