1088.56 is what percent of 4990.95 - 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 4990.95 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 4990.95, so we can write it down as 100%=4990.95.
4. We know, that x% equals 1088.56 of the output value, so we can write it down as x%=1088.56.
5. Now we have two simple equations:
1) 100%=4990.95
2) x%=1088.56
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%=4990.95/1088.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1088.56 is what percent of 4990.95

100%/x%=4990.95/1088.56
(100/x)*x=(4990.95/1088.56)*x       - we multiply both sides of the equation by x
100=4.584910340266*x       - we divide both sides of the equation by (4.584910340266) to get x
100/4.584910340266=x
21.81067732596=x
x=21.81067732596

now we have:
1088.56 is 21.81067732596% of 4990.95