What is 49.974983 percent of 19.99 - 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 19.99 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 19.99 is 100%, so we can write it down as 19.99=100%.
4. We know, that x is 49.974983% of the output value, so we can write it down as x=49.974983%.
5. Now we have two simple equations:
1) 19.99=100%
2) x=49.974983%
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:
19.99/x=100%/49.974983%
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 49.974983% of 19.99

19.99/x=100/49.974983
(19.99/x)*x=(100/49.974983)*x       - we multiply both sides of the equation by x
19.99=2.0010011809309*x       - we divide both sides of the equation by (2.0010011809309) to get x
19.99/2.0010011809309=x
9.9899991017=x
x=9.9899991017

now we have:
49.974983% of 19.99=9.9899991017