49.98 is what percent of 24.5 - 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 24.5 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 24.5, so we can write it down as 100%=24.5.
4. We know, that x% equals 49.98 of the output value, so we can write it down as x%=49.98.
5. Now we have two simple equations:
1) 100%=24.5
2) x%=49.98
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%=24.5/49.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.98 is what percent of 24.5

100%/x%=24.5/49.98
(100/x)*x=(24.5/49.98)*x       - we multiply both sides of the equation by x
100=0.49019607843137*x       - we divide both sides of the equation by (0.49019607843137) to get x
100/0.49019607843137=x
204=x
x=204

now we have:
49.98 is 204% of 24.5