12.41 is what percent of 5212.96 - 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 5212.96 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 5212.96, so we can write it down as 100%=5212.96.
4. We know, that x% equals 12.41 of the output value, so we can write it down as x%=12.41.
5. Now we have two simple equations:
1) 100%=5212.96
2) x%=12.41
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%=5212.96/12.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.41 is what percent of 5212.96

100%/x%=5212.96/12.41
(100/x)*x=(5212.96/12.41)*x       - we multiply both sides of the equation by x
100=420.06124093473*x       - we divide both sides of the equation by (420.06124093473) to get x
100/420.06124093473=x
0.23806052607348=x
x=0.23806052607348

now we have:
12.41 is 0.23806052607348% of 5212.96