49.9 is what percent of 98.2 - 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 98.2 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 98.2, so we can write it down as 100%=98.2.
4. We know, that x% equals 49.9 of the output value, so we can write it down as x%=49.9.
5. Now we have two simple equations:
1) 100%=98.2
2) x%=49.9
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%=98.2/49.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.9 is what percent of 98.2

100%/x%=98.2/49.9
(100/x)*x=(98.2/49.9)*x       - we multiply both sides of the equation by x
100=1.9679358717435*x       - we divide both sides of the equation by (1.9679358717435) to get x
100/1.9679358717435=x
50.81466395112=x
x=50.81466395112

now we have:
49.9 is 50.81466395112% of 98.2