What is 50.2 percent of 19.98 - 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 19.98 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 19.98 is 100%, so we can write it down as 19.98=100%.
4. We know, that x is 50.2% of the output value, so we can write it down as x=50.2%.
5. Now we have two simple equations:
1) 19.98=100%
2) x=50.2%
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:
19.98/x=100%/50.2%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 50.2% of 19.98

19.98/x=100/50.2
(19.98/x)*x=(100/50.2)*x       - we multiply both sides of the equation by x
19.98=1.99203187251*x       - we divide both sides of the equation by (1.99203187251) to get x
19.98/1.99203187251=x
10.02996=x
x=10.02996

now we have:
50.2% of 19.98=10.02996