12440.5 is what percent of 13000 - 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 13000 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 13000, so we can write it down as 100%=13000.
4. We know, that x% equals 12440.5 of the output value, so we can write it down as x%=12440.5.
5. Now we have two simple equations:
1) 100%=13000
2) x%=12440.5
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%=13000/12440.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12440.5 is what percent of 13000

100%/x%=13000/12440.5
(100/x)*x=(13000/12440.5)*x       - we multiply both sides of the equation by x
100=1.0449740766046*x       - we divide both sides of the equation by (1.0449740766046) to get x
100/1.0449740766046=x
95.696153846154=x
x=95.696153846154

now we have:
12440.5 is 95.696153846154% of 13000