49.88 is what percent of 1029.85 - 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 1029.85 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 1029.85, so we can write it down as 100%=1029.85.
4. We know, that x% equals 49.88 of the output value, so we can write it down as x%=49.88.
5. Now we have two simple equations:
1) 100%=1029.85
2) x%=49.88
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%=1029.85/49.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.88 is what percent of 1029.85

100%/x%=1029.85/49.88
(100/x)*x=(1029.85/49.88)*x       - we multiply both sides of the equation by x
100=20.646551724138*x       - we divide both sides of the equation by (20.646551724138) to get x
100/20.646551724138=x
4.8434237995825=x
x=4.8434237995825

now we have:
49.88 is 4.8434237995825% of 1029.85