5018.71 is what percent of 11684 - 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 11684 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 11684, so we can write it down as 100%=11684.
4. We know, that x% equals 5018.71 of the output value, so we can write it down as x%=5018.71.
5. Now we have two simple equations:
1) 100%=11684
2) x%=5018.71
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%=11684/5018.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5018.71 is what percent of 11684

100%/x%=11684/5018.71
(100/x)*x=(11684/5018.71)*x       - we multiply both sides of the equation by x
100=2.3280882936053*x       - we divide both sides of the equation by (2.3280882936053) to get x
100/2.3280882936053=x
42.953697363916=x
x=42.953697363916

now we have:
5018.71 is 42.953697363916% of 11684