19.98 is what percent of 12.99 - 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 12.99 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 12.99, so we can write it down as 100%=12.99.
4. We know, that x% equals 19.98 of the output value, so we can write it down as x%=19.98.
5. Now we have two simple equations:
1) 100%=12.99
2) x%=19.98
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%=12.99/19.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.98 is what percent of 12.99

100%/x%=12.99/19.98
(100/x)*x=(12.99/19.98)*x       - we multiply both sides of the equation by x
100=0.65015015015015*x       - we divide both sides of the equation by (0.65015015015015) to get x
100/0.65015015015015=x
153.81062355658=x
x=153.81062355658

now we have:
19.98 is 153.81062355658% of 12.99