19.52 is what percent of 26.35 - 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 26.35 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 26.35, so we can write it down as 100%=26.35.
4. We know, that x% equals 19.52 of the output value, so we can write it down as x%=19.52.
5. Now we have two simple equations:
1) 100%=26.35
2) x%=19.52
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%=26.35/19.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.52 is what percent of 26.35

100%/x%=26.35/19.52
(100/x)*x=(26.35/19.52)*x       - we multiply both sides of the equation by x
100=1.3498975409836*x       - we divide both sides of the equation by (1.3498975409836) to get x
100/1.3498975409836=x
74.079696394687=x
x=74.079696394687

now we have:
19.52 is 74.079696394687% of 26.35