49.99 is what percent of 200.48 - 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 200.48 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 200.48, so we can write it down as 100%=200.48.
4. We know, that x% equals 49.99 of the output value, so we can write it down as x%=49.99.
5. Now we have two simple equations:
1) 100%=200.48
2) x%=49.99
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%=200.48/49.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.99 is what percent of 200.48

100%/x%=200.48/49.99
(100/x)*x=(200.48/49.99)*x       - we multiply both sides of the equation by x
100=4.0104020804161*x       - we divide both sides of the equation by (4.0104020804161) to get x
100/4.0104020804161=x
24.935155626496=x
x=24.935155626496

now we have:
49.99 is 24.935155626496% of 200.48