19.72 is what percent of 78.88 - 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 78.88 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 78.88, so we can write it down as 100%=78.88.
4. We know, that x% equals 19.72 of the output value, so we can write it down as x%=19.72.
5. Now we have two simple equations:
1) 100%=78.88
2) x%=19.72
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%=78.88/19.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.72 is what percent of 78.88

100%/x%=78.88/19.72
(100/x)*x=(78.88/19.72)*x       - we multiply both sides of the equation by x
100=4*x       - we divide both sides of the equation by (4) to get x
100/4=x
25=x
x=25

now we have:
19.72 is 25% of 78.88