19.45 is what percent of 77.55 - 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 77.55 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 77.55, so we can write it down as 100%=77.55.
4. We know, that x% equals 19.45 of the output value, so we can write it down as x%=19.45.
5. Now we have two simple equations:
1) 100%=77.55
2) x%=19.45
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%=77.55/19.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.45 is what percent of 77.55

100%/x%=77.55/19.45
(100/x)*x=(77.55/19.45)*x       - we multiply both sides of the equation by x
100=3.987146529563*x       - we divide both sides of the equation by (3.987146529563) to get x
100/3.987146529563=x
25.0805931657=x
x=25.0805931657

now we have:
19.45 is 25.0805931657% of 77.55