9.88 is what 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 100% equals 19.99, so we can write it down as 100%=19.99.
4. We know, that x% equals 9.88 of the output value, so we can write it down as x%=9.88.
5. Now we have two simple equations:
1) 100%=19.99
2) x%=9.88
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%=19.99/9.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.88 is what percent of 19.99

100%/x%=19.99/9.88
(100/x)*x=(19.99/9.88)*x       - we multiply both sides of the equation by x
100=2.0232793522267*x       - we divide both sides of the equation by (2.0232793522267) to get x
100/2.0232793522267=x
49.424712356178=x
x=49.424712356178

now we have:
9.88 is 49.424712356178% of 19.99