99.6 is what percent of 1249 - 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 1249 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 1249, so we can write it down as 100%=1249.
4. We know, that x% equals 99.6 of the output value, so we can write it down as x%=99.6.
5. Now we have two simple equations:
1) 100%=1249
2) x%=99.6
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%=1249/99.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99.6 is what percent of 1249

100%/x%=1249/99.6
(100/x)*x=(1249/99.6)*x       - we multiply both sides of the equation by x
100=12.54016064257*x       - we divide both sides of the equation by (12.54016064257) to get x
100/12.54016064257=x
7.9743795036029=x
x=7.9743795036029

now we have:
99.6 is 7.9743795036029% of 1249