12.53 is what percent of 245884.15 - 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 245884.15 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 245884.15, so we can write it down as 100%=245884.15.
4. We know, that x% equals 12.53 of the output value, so we can write it down as x%=12.53.
5. Now we have two simple equations:
1) 100%=245884.15
2) x%=12.53
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%=245884.15/12.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.53 is what percent of 245884.15

100%/x%=245884.15/12.53
(100/x)*x=(245884.15/12.53)*x       - we multiply both sides of the equation by x
100=19623.635275339*x       - we divide both sides of the equation by (19623.635275339) to get x
100/19623.635275339=x
0.0050958957704268=x
x=0.0050958957704268

now we have:
12.53 is 0.0050958957704268% of 245884.15