2472.4 is what percent of 12421.9 - 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 12421.9 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 12421.9, so we can write it down as 100%=12421.9.
4. We know, that x% equals 2472.4 of the output value, so we can write it down as x%=2472.4.
5. Now we have two simple equations:
1) 100%=12421.9
2) x%=2472.4
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%=12421.9/2472.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2472.4 is what percent of 12421.9

100%/x%=12421.9/2472.4
(100/x)*x=(12421.9/2472.4)*x       - we multiply both sides of the equation by x
100=5.024227471283*x       - we divide both sides of the equation by (5.024227471283) to get x
100/5.024227471283=x
19.903557426803=x
x=19.903557426803

now we have:
2472.4 is 19.903557426803% of 12421.9