19.99 is what percent of 49.98 - 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 49.98 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 100% equals 49.98, so we can write it down as 100%=49.98.
4. We know, that x% equals 19.99 of the output value, so we can write it down as x%=19.99.
5. Now we have two simple equations:
1) 100%=49.98
2) x%=19.99
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%=49.98/19.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.99 is what percent of 49.98

100%/x%=49.98/19.99
(100/x)*x=(49.98/19.99)*x       - we multiply both sides of the equation by x
100=2.5002501250625*x       - we divide both sides of the equation by (2.5002501250625) to get x
100/2.5002501250625=x
39.99599839936=x
x=39.99599839936

now we have:
19.99 is 39.99599839936% of 49.98