19.98 is what percent of 79.98 - 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 79.98 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 79.98, so we can write it down as 100%=79.98.
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%=79.98
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%=79.98/19.98
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 79.98

100%/x%=79.98/19.98
(100/x)*x=(79.98/19.98)*x       - we multiply both sides of the equation by x
100=4.003003003003*x       - we divide both sides of the equation by (4.003003003003) to get x
100/4.003003003003=x
24.981245311328=x
x=24.981245311328

now we have:
19.98 is 24.981245311328% of 79.98