49.06 is what percent of 944 - 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 944 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 944, so we can write it down as 100%=944.
4. We know, that x% equals 49.06 of the output value, so we can write it down as x%=49.06.
5. Now we have two simple equations:
1) 100%=944
2) x%=49.06
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%=944/49.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.06 is what percent of 944

100%/x%=944/49.06
(100/x)*x=(944/49.06)*x       - we multiply both sides of the equation by x
100=19.241744802283*x       - we divide both sides of the equation by (19.241744802283) to get x
100/19.241744802283=x
5.1970338983051=x
x=5.1970338983051

now we have:
49.06 is 5.1970338983051% of 944