279.9 is what percent of 1048 - 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 1048 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 1048, so we can write it down as 100%=1048.
4. We know, that x% equals 279.9 of the output value, so we can write it down as x%=279.9.
5. Now we have two simple equations:
1) 100%=1048
2) x%=279.9
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%=1048/279.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 279.9 is what percent of 1048

100%/x%=1048/279.9
(100/x)*x=(1048/279.9)*x       - we multiply both sides of the equation by x
100=3.7441943551268*x       - we divide both sides of the equation by (3.7441943551268) to get x
100/3.7441943551268=x
26.708015267176=x
x=26.708015267176

now we have:
279.9 is 26.708015267176% of 1048