12562.4 is what percent of 1300.48 - 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 1300.48 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 1300.48, so we can write it down as 100%=1300.48.
4. We know, that x% equals 12562.4 of the output value, so we can write it down as x%=12562.4.
5. Now we have two simple equations:
1) 100%=1300.48
2) x%=12562.4
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%=1300.48/12562.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12562.4 is what percent of 1300.48

100%/x%=1300.48/12562.4
(100/x)*x=(1300.48/12562.4)*x       - we multiply both sides of the equation by x
100=0.1035216200726*x       - we divide both sides of the equation by (0.1035216200726) to get x
100/0.1035216200726=x
965.98179133858=x
x=965.98179133858

now we have:
12562.4 is 965.98179133858% of 1300.48