4.71 is what percent of 12.18 - 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 12.18 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 12.18, so we can write it down as 100%=12.18.
4. We know, that x% equals 4.71 of the output value, so we can write it down as x%=4.71.
5. Now we have two simple equations:
1) 100%=12.18
2) x%=4.71
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%=12.18/4.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.71 is what percent of 12.18

100%/x%=12.18/4.71
(100/x)*x=(12.18/4.71)*x       - we multiply both sides of the equation by x
100=2.5859872611465*x       - we divide both sides of the equation by (2.5859872611465) to get x
100/2.5859872611465=x
38.669950738916=x
x=38.669950738916

now we have:
4.71 is 38.669950738916% of 12.18